Chia-Ven Pao

Pao, C. V. (2018). 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. https://doi.org/10.1016/j.jmaa.2018.03.076

Pao, C. V., & Ruan, W. H. (2017). Dynamics of degenerate quasilinear reaction diffusion systems with nonnegative initial functions. JOURNAL OF DIFFERENTIAL EQUATIONS, 263(11), 7709–7752. https://doi.org/10.1016/j.jde.2017.08.024

Pao, C. V. (2016). Dynamics of food-chain models with density-dependent diffusion and ratio-dependent reaction function. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 433(1), 355–374. https://doi.org/10.1016/j.jmaa.2015.05.075

Pao, C. V., & He, T. P. (2016). Numerical methods for coupled systems of quasilinear elliptic equations with nonlinear boundary conditions. Journal of Applied Analysis and Computation, 6(2), 543–581.

Pao, C. V., & Wang, Y.-M. (2016). Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 292, 447–468. https://doi.org/10.1016/j.cam.2015.07.018

Pao, C. V. (2015). Dynamics of Lotka-Volterra competition reaction-diffusion systems with degenerate diffusion. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 421(2), 1721–1742. https://doi.org/10.1016/j.jmaa.2014.07.070

Pao, C. V. (2015). Dynamics of Lotka-Volterra cooperation systems governed by degenerate quasilinear reaction-diffusion equations. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 23, 47–60. https://doi.org/10.1016/j.nonrwa.2014.11.002

Pao, C. V., & Ruan, W. H. (2015). Existence and dynamics of quasilinear parabolic systems with time delays. JOURNAL OF DIFFERENTIAL EQUATIONS, 258(9), 3248–3285. https://doi.org/10.1016/j.jde.2015.01.010

Pao, C. V. (2014). A Lotka-Volterra cooperating reaction-diffusion system with degenerate density-dependent diffusion. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 95, 460–467. https://doi.org/10.1016/j.na.2013.09.015

Pao, C. V., Chang, Y.-H., & Jau, G.-C. (2013). 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. https://doi.org/10.1002/num.21708

Pao, C. V., Chang, Y.-H., & Jau, G.-C. (2013). On a coupled system of reaction-diffusion-transport equations arising from catalytic converter. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 14(6), 2152–2165. https://doi.org/10.1016/j.nonrwa.2013.04.004

Pao, C. V., & Ruan, W. H. (2013). Quasilinear parabolic and elliptic systems with mixed quasimonotone functions. JOURNAL OF DIFFERENTIAL EQUATIONS, 255(7), 1515–1553. https://doi.org/10.1016/j.jde.2013.05.015

Feng, W., Pao, C. V., & Lu, X. (2011). GLOBAL ATTRACTORS OF REACTION-DIFFUSION SYSTEMS MODELING FOOD CHAIN POPULATIONS WITH DELAYS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 10(5), 1463–1478. https://doi.org/10.3934/cpaa.2011.10.1463

Pao, C. V., & Lu, X. (2010). BLOCK MONOTONE ITERATIVE METHOD FOR SEMILINEAR PARABOLIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS. SIAM JOURNAL ON NUMERICAL ANALYSIS, 47(6), 4581–4606. https://doi.org/10.1137/090748706

Pao, C. V. (2010). EIGENVALUE PROBLEMS OF A DEGENERATE QUASILINEAR ELLIPTIC EQUATION. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 40(1), 305–311. https://doi.org/10.1216/rmj-2010-40-1-305

Pao, C. V., & Wang, Y.-M. (2010). Nonlinear fourth-order elliptic equations with nonlocal boundary conditions. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 372(2), 351–365. https://doi.org/10.1016/j.jmaa.2010.07.027

Pao, C. V., & Ruan, W. H. (2010). Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition. JOURNAL OF DIFFERENTIAL EQUATIONS, 248(5), 1175–1211. https://doi.org/10.1016/j.jde.2009.12.011

Pao, C. V. (2009). Singular reaction diffusion equations of porous medium type. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 71(5-6), 2033–2052. https://doi.org/10.1016/j.na.2009.01.122

Chang, Y. H., Jau, G. C., & Pao, C. V. (2008). Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer. Nonlinear Analysis. Real World Applications, 9(3), 822–829. https://doi.org/10.1016/j.nonrwa.2007.01.002

Pao, C. V., & Wang, Y.-M. (2008). Numerical solutions of a three-competition Lotka-Volterra system. APPLIED MATHEMATICS AND COMPUTATION, 204(1), 423–440. https://doi.org/10.1016/j.amc.2008.06.057

Li, Z., Pao, C. V., & Qiao, Z. (2007). A Finite Difference Method and Analysis for 2D Nonlinear Poisson–Boltzmann Equations. Journal of Scientific Computing, 30(1), 61–81. https://doi.org/10.1007/s10915-005-9019-y

Pao, C. V. (2007). Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems. APPLIED MATHEMATICS AND COMPUTATION, 186(2), 1624–1642. https://doi.org/10.1016/j.amc.2006.08.074

Pao, C. V. (2007). Numerical methods for quasi-linear elliptic equations with nonlinear boundary conditions. SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(3), 1081–1106. https://doi.org/10.1137/060653640

Pao, C. V., & Ruan, W. H. (2007). Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 333(1), 472–499. https://doi.org/10.1016/j.jmaa.2006.10.005

Pao, C. V. (2007). Quasilinear parabolic and elliptic equations with nonlinear boundary conditions. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 66(3), 639–662. https://doi.org/10.1016/j.na.2005.12.007

Pao, C. V. (2007). The global attractor of a competitor-competitor-mutualist-reaction-diffusion system with time delays. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 67(9), 2623–2631. https://doi.org/10.1016/j.na.2006.09.027

Wang, Y. M., & Pao, C. V. (2006). Time-delayed finite difference reaction-diffusion systems with nonquasimonotone functions. NUMERISCHE MATHEMATIK, 103(3), 485–513. https://doi.org/10.1007/s00211-006-0685-y

Pao, C. V. (2005). Global attractor of coupled difference equations and applications to Lotka-Volterra systems. ADVANCES IN DIFFERENCE EQUATIONS, (1), 57–79. https://doi.org/10.1155/ade.2005.57

Pao, C. V. (2005). Stability and attractivity of periodic solutions of parabolic systems with time delays. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 304(2), 423–450. https://doi.org/10.1016/j.jmaa.2004.09.014

Pao, C. V. (2005). Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 60(7), 1197–1217. https://doi.org/10.1016/j.na.2004.10.008

Pao, C. V. (2004). Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 5(1), 91–104. https://doi.org/10.1016/S1468-1218(03)00018-X

Pao, C. V. (2003). Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems. Computers & Mathematics With Applications, 46(37905), 1535–1544. https://doi.org/10.1016/S0898-1221(03)00381-X

Pao, C. V., & Lu, X. (2003). Block monotone iterations for numerical solutions of fourth-order nonlinear elliptic boundary value problems. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 25(1), 164–185. https://doi.org/10.1137/S1064827502409912

Pao, C. V. (2003). 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.

Pao, C. V. (2003). Global asymptotic stability of Lotka-Volterra 3-species reaction-diffusion systems with time delays. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 281(1), 186–204. https://doi.org/10.1016/S0022-247X(03)00033-7

Pao, C. V. (2003). Global attractor of a coupled finite difference reaction diffusion system with delays. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 288(1), 251–273. https://doi.org/10.1016/j.jmaa.2003.08.011

Pao, C. V. (2002). Convergence of solutions of reaction-diffusion systems with time delays. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 48(3), 349–362. https://doi.org/10.1016/S0362-546X(00)00189-9

Pao, C. V. (2002). Finite difference reaction-diffusion systems with coupled boundary conditions and time delays. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 272(2), 407–434. https://doi.org/10.1016/S0022-247X(02)00145-2

Pao, C. V. (2002). Time delayed parabolic systems with coupled nonlinear boundary conditions. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 130(4), 1079–1086. https://doi.org/10.1090/S0002-9939-01-06319-5

Pao, C. V. (2001). Finite difference solutions of reaction diffusion equations with continuous time delays. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 42(3-5), 399–412. https://doi.org/10.1016/S0898-1221(01)00165-1

Pao, C. V. (2001). Numerical methods for fourth-order nonlinear elliptic boundary value problems. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 17(4), 347–368. https://doi.org/10.1002/num.1016

Pao, C. V. (2001). Numerical methods for nonlinear integro-parabolic equations of Fredholm type. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 41(7-8), 857–877. https://doi.org/10.1016/S0898-1221(00)00325-4

Pao, C. V. (2001). Numerical methods for time-periodic solutions of nonlinear parabolic boundary value problems. SIAM JOURNAL ON NUMERICAL ANALYSIS, 39(2), 647–667. https://doi.org/10.1137/S0036142999361396

Pao, C. V. (2001). Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 136(1-2), 227–243. https://doi.org/10.1016/S0377-0427(00)00614-2

Pao, C. V. (2001). Quenching problem of a functional parabolic equation. Journal of High Energy Physics, 8(1), 89–98.

Pao, C. V. (2001, August). Reaction diffusion systems with time delays in a half-space domain. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Vol. 47, pp. 4365–4375. https://doi.org/10.1016/S0362-546X(01)00551-X

Pao, C. V. (2000). 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.

Wang, J. H., & Pao, C. V. (2000). Finite difference reaction-diffusion equations with nonlinear diffusion coefficients. NUMERISCHE MATHEMATIK, 85(3), 485–502. https://doi.org/10.1007/s002110000140

Pao, C. V. (2000). On fourth-order elliptic boundary value problems. Proceedings of the American Mathematical Society, 128(4), 1023–1030.

Pao, C. V. (2000). Periodic solutions of parabolic systems with time delays. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 251(1), 251–263. https://doi.org/10.1006/jmaa.2000.7045

Pao, C. V. (2000). Periodic solutions of systems of parabolic equations in unbounded domains. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 40(1-8), 523–535. https://doi.org/10.1016/s0362-546x(00)85031-2

Pao, C. V. (2000). Quenching problem of a reaction-diffusion equation with time delay. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 41(1-2), 133–142. https://doi.org/10.1016/S0362-546X(98)00269-7

Pao, C. V. (1999). Numerical analysis of coupled systems of nonlinear parabolic equations. SIAM JOURNAL ON NUMERICAL ANALYSIS, 36(2), 393–416. https://doi.org/10.1137/S0036142996313166

Pao, C. V. (1999). Numerical methods for systems of nonlinear parabolic equations with time delays. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 240(1), 249–279. https://doi.org/10.1006/jmaa.1999.6619

Pao, C. V. (1999). Periodic solutions of parabolic systems with nonlinear boundary conditions. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 234(2), 695–716. https://doi.org/10.1006/jmaa.1999.6412

Yang, Z. P., & Pao, C. V. (1999). Positive solutions and dynamics of some reaction diffusion models in HIV transmission. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 35(3), 323–341. https://doi.org/10.1016/S0362-546X(97)00672-X

Pao, C. V. (1998). Accelerated monotone iterative methods for finite difference equations of reaction-diffusion. NUMERISCHE MATHEMATIK, 79(2), 261–281. https://doi.org/10.1007/s002110050340

Pao, C. V. (1998). Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions. Journal of Computational and Applied Mathematics, 88(1998), 225–238. https://doi.org/10.1016/S0377-0427(97)00215-X

Pao, C. V. (1998). Dynamics of a finite difference system of reaction diffusion equations with time delay. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 4(1), 1–11. https://doi.org/10.1080/10236199808808124

Pao, C. V. (1998). Monotone iterations for numerical solutions of reaction-diffusion-convection equations with time delay. Numerical Methods for Partial Differential Equations, 14(3), 339–351. https://doi.org/10.1002/(sici)1098-2426(199805)14:3<339::aid-num4>3.0.co;2-n

Pao, C. V. (1998). Monotone methods for a finite difference system of reaction diffusion equation with time delay. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 36(10-12), 37–47. https://doi.org/10.1016/S0898-1221(98)80007-2

Pao, C. V. (1998). Parabolic systems in unbounded domains I. Existence and dynamics. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 217(1), 129–160. https://doi.org/10.1006/jmaa.1997.5706

Pao, C. V. (1998). Parabolic systems in unbounded domains. II. Equations with time delays. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 225(2), 557–586. https://doi.org/10.1006/jmaa.1998.6051

Pao, C. V. (1998). [Review of Theory and applications of partial functional differential equations. By Jianhong Wu.]. SIAM Review, 40(3), 746–747.

Pao, C. V. (1997, December). Dynamics of reaction-diffusion systems and applications. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Vol. 30, pp. 3371–3377. https://doi.org/10.1016/S0362-546X(97)00350-7

Pao, C. V. (1997). 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.

Pao, C. V. (1997). Systems of parabolic equations with continuous and discrete delays. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 205(1), 157–185. https://doi.org/10.1006/jmaa.1996.5177