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.
2017 journal article
Dynamics of degenerate quasilinear reaction diffusion systems with nonnegative initial functions
JOURNAL OF DIFFERENTIAL EQUATIONS, 263(11), 7709–7752.
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.
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.
2015 journal article
Existence and dynamics of quasilinear parabolic systems with time delays
JOURNAL OF DIFFERENTIAL EQUATIONS, 258(9), 3248–3285.
2015 journal article
Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 292, 447–468.
2014 journal article
Dynamics of Lotka-Volterra competition reaction-diffusion systems with degenerate diffusion
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 421(2), 1721–1742.
2014 journal article
Dynamics of Lotka-Volterra cooperation systems governed by degenerate quasilinear reaction-diffusion equations
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 23, 47–60.
2013 journal article
A Lotka-Volterra cooperating reaction-diffusion system with degenerate density-dependent diffusion
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 95, 460–467.
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.
2013 journal article
Quasilinear parabolic and elliptic systems with mixed quasimonotone functions
JOURNAL OF DIFFERENTIAL EQUATIONS, 255(7), 1515–1553.
2012 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.
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.
2010 journal article
BLOCK MONOTONE ITERATIVE METHOD FOR SEMILINEAR PARABOLIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS
SIAM JOURNAL ON NUMERICAL ANALYSIS, 47(6), 4581–4606.
2010 journal article
EIGENVALUE PROBLEMS OF A DEGENERATE QUASILINEAR ELLIPTIC EQUATION
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 40(1), 305–311.
2010 journal article
Nonlinear fourth-order elliptic equations with nonlocal boundary conditions
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 372(2), 351–365.
2010 journal article
Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition
JOURNAL OF DIFFERENTIAL EQUATIONS, 248(5), 1175–1211.
2009 journal article
Singular reaction diffusion equations of porous medium type
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 71(5-6), 2033–2052.
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.
2008 journal article
Numerical solutions of a three-competition Lotka-Volterra system
APPLIED MATHEMATICS AND COMPUTATION, 204(1), 423–440.
2007 journal article
Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems
APPLIED MATHEMATICS AND COMPUTATION, 186(2), 1624–1642.
2007 journal article
Numerical methods for quasi-linear elliptic equations with nonlinear boundary conditions
SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(3), 1081–1106.
2007 journal article
Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 333(1), 472–499.
2006 journal article
Quasilinear parabolic and elliptic equations with nonlinear boundary conditions
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 66(3), 639–662.
2006 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.
2006 journal article
Time-delayed finite difference reaction-diffusion systems with nonquasimonotone functions
NUMERISCHE MATHEMATIK, 103(3), 485–513.
2005 journal article
A Finite Difference Method and Analysis for 2D Nonlinear Poisson–Boltzmann Equations
Journal of Scientific Computing, 30(1), 61–81.
2005 journal article
Global attractor of coupled difference equations and applications to Lotka-Volterra systems
ADVANCES IN DIFFERENCE EQUATIONS, (1), 57–79.
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.
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.
2004 journal article
Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 60(7), 1197–1217.
2003 journal article
Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems
Computers & Mathematics With Applications, 46(37905), 1535–1544.
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.
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.
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.
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.
2002 journal article
Convergence of solutions of reaction-diffusion systems with time delays
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 48(3), 349–362.
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.
2001 journal article
Finite difference solutions of reaction diffusion equations with continuous time delays
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 42(3-5), 399–412.
2001 journal article
Numerical methods for fourth-order nonlinear elliptic boundary value problems
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 17(4), 347–368.
2001 journal article
Numerical methods for nonlinear integro-parabolic equations of Fredholm type
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 41(7-8), 857–877.
2001 journal article
Numerical methods for time-periodic solutions of nonlinear parabolic boundary value problems
SIAM JOURNAL ON NUMERICAL ANALYSIS, 39(2), 647–667.
2001 journal article
Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 136(1-2), 227–243.
2001 journal article
Quenching problem of a functional parabolic equation
Journal of High Energy Physics, 8(1), 89–98.
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.
2001 journal article
Time delayed parabolic systems with coupled nonlinear boundary conditions
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 130(4), 1079–1086.
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.
Ed(s): R. Agarwal & D. O'Regan
2000 journal article
Finite difference reaction-diffusion equations with nonlinear diffusion coefficients
NUMERISCHE MATHEMATIK, 85(3), 485–502.
2000 journal article
On fourth-order elliptic boundary value problems
Proceedings of the American Mathematical Society, 128(4), 1023–1030.
2000 journal article
Periodic solutions of parabolic systems with time delays
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 251(1), 251–263.
2000 journal article
Periodic solutions of systems of parabolic equations in unbounded domains
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 40(1-8), 523–535.
2000 journal article
Quenching problem of a reaction-diffusion equation with time delay
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 41(1-2), 133–142.
1999 journal article
Numerical analysis of coupled systems of nonlinear parabolic equations
SIAM JOURNAL ON NUMERICAL ANALYSIS, 36(2), 393–416.
1999 journal article
Numerical methods for systems of nonlinear parabolic equations with time delays
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 240(1), 249–279.
1999 journal article
Periodic solutions of parabolic systems with nonlinear boundary conditions
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 234(2), 695–716.
1999 journal article
Positive solutions and dynamics of some reaction diffusion models in HIV transmission
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 35(3), 323–341.
1998 journal article
Accelerated monotone iterative methods for finite difference equations of reaction-diffusion
NUMERISCHE MATHEMATIK, 79(2), 261–281.
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.
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.
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.
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.
1998 journal article
Parabolic systems in unbounded domains I. Existence and dynamics
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 217(1), 129–160.
1998 journal article
Parabolic systems in unbounded domains. II. Equations with time delays
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 225(2), 557–586.
1998 review
Theory and applications of partial functional differential equations. By Jianhong Wu.
[Review of ]. SIAM Review, 40(3), 746–747.
1997 article
Dynamics of reaction-diffusion systems and applications
Pao, C. V. (1997, December). NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Vol. 30, pp. 3371–3377.
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.
Ed(s): . S. Sivasundaram & A. Martynyuk
1997 journal article
Systems of parabolic equations with continuous and discrete delays
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 205(1), 157–185.
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