Works (67)

Updated: July 5th, 2023 16:04

2018 journal article

Global attractors of some predator-prey reaction-diffusion systems with density-dependent diffusion and time-delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 464(1), 164–187.

By: C. Pao n

author keywords: Predator-prey models; Quasi-linear reaction diffusion; Time-delay; Global attractor; Upper and lower solutions
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Dynamics of degenerate quasilinear reaction diffusion systems with nonnegative initial functions

JOURNAL OF DIFFERENTIAL EQUATIONS, 263(11), 7709–7752.

By: C. Pao n & W. Ruan*

author keywords: Quasilinear reaction diffusion systems; Upper and lower solutions; Weak and classical solutions; Asymptotic behavior; Lotka-Volterra models
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Dynamics of food-chain models with density-dependent diffusion and ratio-dependent reaction function

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 433(1), 355–374.

By: C. Pao n

author keywords: Food-chain reaction diffusion system; Degenerate diffusion; Ratio-dependent reaction; Dynamical behavior; Global attractor; Stability
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Numerical methods for coupled systems of quasilinear elliptic equations with nonlinear boundary conditions

Journal of Applied Analysis and Computation, 6(2), 543–581.

By: C. Pao & T. He

Source: NC State University Libraries
Added: August 6, 2018

2016 journal article

Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 292, 447–468.

By: C. Pao n & Y. Wang*

author keywords: Fourth-order elliptic equation; Nonlocal boundary condition; Finite difference system; Method of upper and lower solutions; Monotone iterations; Convergence
TL;DR: The monotone convergence property of the maximal and minimal sequences is used to show the convergence of themaximal and minimal finite difference solutions to the corresponding maximal and minimum solutions of the original continuous system as the mesh size tends to zero. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Dynamics of Lotka-Volterra competition reaction-diffusion systems with degenerate diffusion

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 421(2), 1721–1742.

By: C. Pao n

author keywords: Degenerate reaction-diffusion equation; Lotka-Volterra competition system; Positive steady-state solution; Global attractor; Coexistence; Asymptotic behavior
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Dynamics of Lotka-Volterra cooperation systems governed by degenerate quasilinear reaction-diffusion equations

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 23, 47–60.

By: C. Pao n

author keywords: Lotka-Volterra cooperation system; Degenerate quasilinear equations; Positive minimal and maximal solutions; Asymptotic behavior and stability; Upper and lower solutions
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Existence and dynamics of quasilinear parabolic systems with time delays

JOURNAL OF DIFFERENTIAL EQUATIONS, 258(9), 3248–3285.

By: C. Pao n & W. Ruan*

author keywords: Parabolic system with time delays; Degenerate reaction-diffusion equations; Global existence and positive quasisolutions; Asymptotic behavior and attractors; Predator-prey models
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2014 journal article

A Lotka-Volterra cooperating reaction-diffusion system with degenerate density-dependent diffusion

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 95, 460–467.

By: C. Pao n

author keywords: Lotka-Volterra cooperating model; Degenerate density-dependent diffusion; Positive steady-state solutions; Asymptotic behavior; Coexistence and stability
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Numerical methods for a coupled system of differential equations arising from a thermal ignition problem

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 29(1), 251–279.

By: C. Pao n, Y. Chang* & G. Jau*

author keywords: blow-up solution; catalytic converter; finite difference solution; monotone iteration; system of first-order equations
UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

On a coupled system of reaction-diffusion-transport equations arising from catalytic converter

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 14(6), 2152–2165.

By: C. Pao n, Y. Chang* & G. Jau

UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Quasilinear parabolic and elliptic systems with mixed quasimonotone functions

JOURNAL OF DIFFERENTIAL EQUATIONS, 255(7), 1515–1553.

By: C. Pao n & W. Ruan*

author keywords: Degenerate parabolic and elliptic system; Global existence; Maximal-minimal solutions; Global attractor; Predator-prey problems
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2011 journal article

GLOBAL ATTRACTORS OF REACTION-DIFFUSION SYSTEMS MODELING FOOD CHAIN POPULATIONS WITH DELAYS

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 10(5), 1463–1478.

By: W. Feng, C. Pao* & X. Lu

author keywords: Population dynamics; reaction diffusion systems; 4-species food chain; coexistence and permanence; positive steady state and global attractor; numerical simulations
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2010 journal article

BLOCK MONOTONE ITERATIVE METHOD FOR SEMILINEAR PARABOLIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

SIAM JOURNAL ON NUMERICAL ANALYSIS, 47(6), 4581–4606.

By: C. Pao* & X. Lu

author keywords: semilinear parabolic equations; nonlinear boundary conditions; finite difference systems; block monotone iterations; upper and lower solutions; Jacobi iterations and Gauss-Seidel iterations; numerical solutions; convergence
TL;DR: It is shown that by using an upper solution and a lower solution as initial iterations each of the iterative schemes yields two sequences which converge monotonically from above and below, respectively, to a unique solution of the finite difference system. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2010 journal article

EIGENVALUE PROBLEMS OF A DEGENERATE QUASILINEAR ELLIPTIC EQUATION

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 40(1), 305–311.

By: C. Pao*

author keywords: Positive eigenvalues and eigenfunctions; degenerate quasilinear elliptic equations; upper and lower solutions
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Nonlinear fourth-order elliptic equations with nonlocal boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 372(2), 351–365.

By: C. Pao n & Y. Wang*

author keywords: Fourth-order elliptic equation; Nonlocal boundary condition; Multi-point boundary condition; Maximal and minimal solutions; Method of upper and lower solutions; Monotone iterations
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition

JOURNAL OF DIFFERENTIAL EQUATIONS, 248(5), 1175–1211.

By: C. Pao n & W. Ruan*

author keywords: Quasilinear parabolic and elliptic equations; Degenerate reaction-diffusion system; Maximal and minimal solutions; Asymptotic behavior of solution; Method of upper and lower solutions
Source: Web Of Science
Added: August 6, 2018

2009 journal article

Singular reaction diffusion equations of porous medium type

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 71(5-6), 2033–2052.

By: C. Pao n

author keywords: Reaction-diffusion; Porous medium; Positive solution; Asymptotic behavior; Global attraction; Upper and lower solutions; Singular diffusion and reaction
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer

Nonlinear Analysis. Real World Applications, 9(3), 822–829.

By: Y. Chang, G. Jau & C. Pao*

UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
Source: NC State University Libraries
Added: August 6, 2018

2008 journal article

Numerical solutions of a three-competition Lotka-Volterra system

APPLIED MATHEMATICS AND COMPUTATION, 204(1), 423–440.

By: C. Pao n & Y. Wang*

author keywords: Lotka-Volterra competition; reaction-diffusion system; finite difference system; monotone iterative method; upper and lower solutions; asymptotic behavior
TL;DR: Three monotone iterative schemes for the computation of the time-dependent solution are presented, and the sequences of iterations are shown to converge monotonically to a unique positive solution. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

A Finite Difference Method and Analysis for 2D Nonlinear Poisson–Boltzmann Equations

Journal of Scientific Computing, 30(1), 61–81.

By: Z. Li n, C. Pao n & Z. Qiao*

author keywords: nonlinear Poisson-Boltzmann equation; exterior problem; immersed interface method; monotone iterative method
TL;DR: A fast finite difference method based on the monotone iterative method and the fast Poisson solver on irregular domains for a 2D nonlinear Poisson–Boltzmann equation is proposed and analyzed and is efficient in terms of accuracy, speed, and flexibility in dealing with the geometry of the domain. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries, Crossref
Added: August 6, 2018

2007 journal article

Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems

APPLIED MATHEMATICS AND COMPUTATION, 186(2), 1624–1642.

By: C. Pao n

author keywords: integro-differential equations; reaction-diffusion-convection; finite-difference solution; monotone iterations; upper and lower solutions; existence-uniqueness theorem
TL;DR: The aim of this paper is to obtain various monotone iterative schemes for numerical solutions of a class of nonlinear nonlocal reaction–diffusion–convection equations under linear boundary conditions. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Numerical methods for quasi-linear elliptic equations with nonlinear boundary conditions

SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(3), 1081–1106.

By: C. Pao

author keywords: density-dependent reaction diffusion; nonlinear boundary condition; monotone iterative schemes; upper and lower solutions; convergence of finite difference solution; heat conduction
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 333(1), 472–499.

By: C. Pao n & W. Ruan*

author keywords: quasilinear parabolic systems; nonlinear boundary conditions; existence-uniqueness theorems; asymptotic behavior of solutions; degenerate diffusion; porous medium problems; upper and lower solutions
Source: Web Of Science
Added: August 6, 2018

2007 journal article

Quasilinear parabolic and elliptic equations with nonlinear boundary conditions

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 66(3), 639–662.

By: C. Pao n

author keywords: quasilinear parabolic and elliptic equations; existence and uniqueness; maximal and minimal solutions; asymptotic behavior; upper and lower solutions; heat-transfer problems
Source: Web Of Science
Added: August 6, 2018

2007 journal article

The global attractor of a competitor-competitor-mutualist-reaction-diffusion system with time delays

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 67(9), 2623–2631.

By: C. Pao n

author keywords: reaction-diffusion system; asymptotic behavior; positive solutions; global attraction; time delays; upper and lower solutions
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2006 journal article

Time-delayed finite difference reaction-diffusion systems with nonquasimonotone functions

NUMERISCHE MATHEMATIK, 103(3), 485–513.

By: Y. Wang* & C. Pao n

author keywords: reaction-diffusion system; finite difference system; monotone iterative method; asymptotic behavior; local and global attractors
TL;DR: The asymptotic behavior result leads to some local and global attractors of the time-dependent problem, including the convergence of theTime-dependent solution to a unique steady-state solution. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Global attractor of coupled difference equations and applications to Lotka-Volterra systems

ADVANCES IN DIFFERENCE EQUATIONS, (1), 57–79.

By: C. Pao*

Source: Web Of Science
Added: August 6, 2018

2005 journal article

Stability and attractivity of periodic solutions of parabolic systems with time delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 304(2), 423–450.

By: C. Pao n

author keywords: periodic solution; parabolic boundary problem; upper and lower solutions; quasimonotone function; asymptotic stability; global attractivity; time delays; Lotka-Volterra diffusion models
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2005 journal article

Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 60(7), 1197–1217.

By: C. Pao n

author keywords: elliptic systems; reaction-diffusion equations; cross-diffusion; Lotka -Volterra systems; upper and lower solutions; monotone iterations
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2004 journal article

Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 5(1), 91–104.

By: C. Pao n

author keywords: Lotka-Volterra competition; reaction-diffusion system; ordinary differential system; time-delays; global asymptotic stability; permanence
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems

Computers & Mathematics With Applications, 46(37905), 1535–1544.

By: C. Pao

Source: NC State University Libraries
Added: August 6, 2018

2003 journal article

Block monotone iterations for numerical solutions of fourth-order nonlinear elliptic boundary value problems

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 25(1), 164–185.

By: C. Pao* & X. Lu

author keywords: fourth-order elliptic equations; finite difference systems; block monotone iterations; numerical solutions; convergence; upper and lower solutions
TL;DR: It is shown that the sequence of iterations converges monotonically to a maximal solution or a minimal solution if the nonlinear function is quasi-monotone nondecreasing and that the finite difference solution converges to the continuous solution as the mesh size tends to zero. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2003 article

Finite difference reaction-diffusion systems with coupled boundary conditions and time delays (vol 272, pg 407, 2002)

Journal of Mathematical Analysis and Applications, Vol. 288, p. 870.

By: C. Pao

Source: NC State University Libraries
Added: August 6, 2018

2003 journal article

Global asymptotic stability of Lotka-Volterra 3-species reaction-diffusion systems with time delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 281(1), 186–204.

By: C. Pao n

UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Global attractor of a coupled finite difference reaction diffusion system with delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 288(1), 251–273.

By: C. Pao n

UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Convergence of solutions of reaction-diffusion systems with time delays

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 48(3), 349–362.

By: C. Pao n

author keywords: reaction-diffusion equations; time delays; asymptotic behavior; global attractor; upper and lower solutions; Volterra-Lotka models
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2002 journal article

Finite difference reaction-diffusion systems with coupled boundary conditions and time delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 272(2), 407–434.

By: C. Pao n

Source: Web Of Science
Added: August 6, 2018

2002 journal article

Time delayed parabolic systems with coupled nonlinear boundary conditions

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 130(4), 1079–1086.

By: C. Pao n

author keywords: parabolic systems; time delays; nonlinear boundary conditions; existence-uniqueness; nonquasimonotone functions; upper and lower solutions
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Finite difference solutions of reaction diffusion equations with continuous time delays

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 42(3-5), 399–412.

By: C. Pao n

author keywords: finite difference system; reaction diffusion equation; monotone iterative schemes; method of upper and lower solutions; continuous time delay; existence and uniqueness
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Numerical methods for fourth-order nonlinear elliptic boundary value problems

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 17(4), 347–368.

By: C. Pao*

author keywords: fourth-order elliptic equations; two-point boundary problems; finite difference system; monotone iterations; upper and lower solutions; numerical solutions; existence-comparison theorem
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Numerical methods for nonlinear integro-parabolic equations of Fredholm type

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 41(7-8), 857–877.

By: C. Pao n

author keywords: integro-parabolic equation; finite-difference solution; reaction-diffusion convection; monotone iteration; error estimate; upper and lower solutions
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Numerical methods for time-periodic solutions of nonlinear parabolic boundary value problems

SIAM JOURNAL ON NUMERICAL ANALYSIS, 39(2), 647–667.

By: C. Pao*

author keywords: time-periodic solution; reaction-diffusion-convection equation; monotone iterations; finite difference equations; convergence; error estimates
TL;DR: It is shown by the method of upper and lower solutions that the sequence of iterations from each of these iterative schemes converges monotonically to either a maximal periodic solutions or a minimal periodic solution depending on whether the initial iteration is an upper solution or a lower solution. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 136(1-2), 227–243.

By: C. Pao n

author keywords: finite-difference equation; reaction-diffusion; nonlocal boundary condition; numerical solution; monotone iterations
Source: Web Of Science
Added: August 6, 2018

2001 journal article

Quenching problem of a functional parabolic equation

Journal of High Energy Physics, 8(1), 89–98.

By: C. Pao

Source: NC State University Libraries
Added: August 6, 2018

2001 article

Reaction diffusion systems with time delays in a half-space domain

Pao, C. V. (2001, August). NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Vol. 47, pp. 4365–4375.

By: C. Pao*

author keywords: reaction-diffusion equations; time delays; half-space domain; nonlinear boundary conditions; existence-uniqueness; upper and lower solutions
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 chapter

Dynamics of a Volterra-Lotka competition model with diffusion and time delays, integral and integro differential equations

In R. P. Agarwal & D. O'Regan (Eds.), Integral and integrodifferential equations: Theory, method and applications (Series in mathematical analysis and applications ; v.2 ) (Vol. 2, pp. 269–277). Amsterdam: Gordon and Breach Science Publishers.

By: C. Pao

Ed(s): R. Agarwal & D. O'Regan

Source: NC State University Libraries
Added: August 6, 2018

2000 journal article

Finite difference reaction-diffusion equations with nonlinear diffusion coefficients

NUMERISCHE MATHEMATIK, 85(3), 485–502.

By: J. Wang n & C. Pao n

TL;DR: A monotone iterative method for numerical solutions of a class of finite difference reaction-diffusion equations with nonlinear diffusion coefficient shows that by using an upper solution or a lower solution as the initial iteration the corresponding sequence converges monotonically to a unique solution of the finite difference system. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 journal article

On fourth-order elliptic boundary value problems

Proceedings of the American Mathematical Society, 128(4), 1023–1030.

By: C. Pao

Source: NC State University Libraries
Added: August 6, 2018

2000 journal article

Periodic solutions of parabolic systems with time delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 251(1), 251–263.

By: C. Pao n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Periodic solutions of systems of parabolic equations in unbounded domains

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 40(1-8), 523–535.

By: C. Pao n

author keywords: parabolic system; periodic solution; existence and stability; upper and lower solutions; maximal and minimal solutions
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2000 journal article

Quenching problem of a reaction-diffusion equation with time delay

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 41(1-2), 133–142.

By: C. Pao n

author keywords: quenching problem; reaction-diffusion equation; time delay; asymptotic behavior; positive solution
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Numerical analysis of coupled systems of nonlinear parabolic equations

SIAM JOURNAL ON NUMERICAL ANALYSIS, 36(2), 393–416.

By: C. Pao n

author keywords: system of parabolic equations; finite difference equations; monotone iterative methods; reaction-diffusion-convection; convergence and error analysis
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Numerical methods for systems of nonlinear parabolic equations with time delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 240(1), 249–279.

By: C. Pao n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Periodic solutions of parabolic systems with nonlinear boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 234(2), 695–716.

By: C. Pao n

TL;DR: This method leads to the existence of maximal and minimal periodic solutions which can be computed from a linear iteration process in the same fashion as for parabolic initial-boundary value problems. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1999 journal article

Positive solutions and dynamics of some reaction diffusion models in HIV transmission

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 35(3), 323–341.

By: Z. Yang n & C. Pao n

author keywords: reaction diffusion equations; positive solutions; dynamics; HIV transmission; numerical solutions
UN Sustainable Development Goal Categories
3. Good Health and Well-being (Web of Science; OpenAlex)
Source: Web Of Science
Added: August 6, 2018

1998 journal article

Accelerated monotone iterative methods for finite difference equations of reaction-diffusion

NUMERISCHE MATHEMATIK, 79(2), 261–281.

By: C. Pao n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1998 journal article

Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions

Journal of Computational and Applied Mathematics, 88(1998), 225–238.

By: C. Pao n

Source: NC State University Libraries
Added: August 6, 2018

1998 journal article

Dynamics of a finite difference system of reaction diffusion equations with time delay

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 4(1), 1–11.

By: C. Pao n

author keywords: asymptotic behavior; time delays; maximal and minimal solutions; reaction-diffusion equations
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1998 journal article

Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay

Numerical Methods for Partial Differential Equations, 14(3), 339–351.

By: C. Pao n

Source: NC State University Libraries
Added: August 6, 2018

1998 journal article

Monotone methods for a finite difference system of reaction diffusion equation with time delay

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 36(10-12), 37–47.

By: C. Pao*

author keywords: finite difference equations; reaction-diffusion; time delay; monotone iterations; upper and lower bounds
TL;DR: The iterative schemes lead to computational algorithms as well as existence, uniqueness, and upper and lower bounds of the solution of a system of nonlinear difference equations with time delays. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

1998 journal article

Parabolic systems in unbounded domains I. Existence and dynamics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 217(1), 129–160.

By: C. Pao n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1998 journal article

Parabolic systems in unbounded domains. II. Equations with time delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 225(2), 557–586.

By: C. Pao n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1998 review

Theory and applications of partial functional differential equations. By Jianhong Wu.

[Review of ]. SIAM Review, 40(3), 746–747.

By: C. Pao

Source: NC State University Libraries
Added: August 6, 2018

1997 article

Dynamics of reaction-diffusion systems and applications

Pao, C. V. (1997, December). NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Vol. 30, pp. 3371–3377.

By: C. Pao n

TL;DR: The dynamics of a system of arbitrary number of nonlinear parabolic equations in terms of the quasisolutions of the corresponding system of elliptic equations is discussed to study the coexistence and permanence of a three-species predator-prey model and a food-chain model arising from ecology. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

1997 chapter

Dynamics of weakly coupled parabolic systems with nonlocal boundary conditions

In S. Sivasundaram & A. A. Martynyuk (Eds.), Advances in nonlinear dynamics (Vol. 5, pp. 319–327). Australia: Gordon and Breach.

By: C. Pao

Ed(s): . S. Sivasundaram & A. Martynyuk

Source: NC State University Libraries
Added: August 6, 2018

1997 journal article

Systems of parabolic equations with continuous and discrete delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 205(1), 157–185.

By: C. Pao n

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

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