Dr. C. V. Pao

Professor of Mathematics

Recent publication (1995-2009)

  1. C.V.Pao, Eigenvalue problems of a degenerate quasilinear elliptic equation, Rocky Mountain J. Math.,(to appear).

  2. C.V.Pao , Singular reaction diffusion equations of porous medium type, Nonlinear Analysis, (to appear).

  3. C.V.Pao and W.H.Ruan , Asymptotic behavior of solutions for a system of quasilinear reaction-diffusion equations, Advances in Nonlinear Analysis, Theory,Methods and Application, (to appear).

  4. C.V.Pao and Y.M.Wang , Fourth-order boundary value problems with multi-point boundary conditions, Comm. Appl. Nonlin. Anal. (to appear).

  5. C.V.Pao and Y.M.Wang , Numerical solutions of a three-competition Lotka-Volterra reaction-diffusion system, Appl. Math. Comput. (to appear).

  6. C.V.Pao and W.H.Ruan , Dynamics of a quasilinear reaction diffusion equation with singular reaction functions, Canadian Appl. Math. Quart. (to appear).

  7. Y.H.Chang, G.C.Jau and C.V.Pao , Blowup and global existence of solutions for a catalytic converter in interface heat transfer, Nonlinear Analysis, Real World Applications, 9(2008), 822-829.

  8. C.V.Pao, Monotone Iterative Methods for Numerical Solutions of Nonlinear Integro-Elliptic Boundary Problems, Appl. Math. Comput., (to appear).

  9. C.V.Pao, Global attractor of a competitor-competitor-mutualist reaction-diffusion system with time delays, Nonlinear Analysis, (to appear).

  10. Y.H.Chang, G.C.Jau and C.V.Pao, Blowup and global existence of solutions for a catalytic converter in interface heat transfer, Nonlinear Analysis, Real World Applications, (to appear).

  11. C.V.Pao, Numerical methods for quasilinear elliptic equations with nonlinear boundary conditions, SIAM J. Numer, Anal., 45(2007)1081-1106.

  12. C.V.Pao and W.H.Ruan, Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions, Math. Anal. Appl., 333 (2007) 472-499.

  13. C.V.Pao, Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems, Applied Math. Comput., 186(2007),1624-1642..

  14. Zhilin Li, C.V.Pao and Zhonghua Qiao, A finite difference method and analisis for a 2D nonlinear Poisson-Boltzmann equation, J. Scientific Computing, vol 30, No1, January, 2007.

  15. M.Y.Wang and C.V.Pao, Time-delayed finite difference reaction-diffusion systems with nonquasimonotone functions, Numer. Math., 103(2006), 485-513..
  16. C.V.Pao, Quasilinear parabolic and elliptic equations with nonlinear boundary conditions, Nonlinear Analysis, 66(2006),639-662.

  17. C.V.Pao Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion, Nonlinear Analysis, 60(2005), 1197-1217.

  18. C.V.Pao Stability and attractivity of periodic solutions of parabolic systems with time delays, J. Math. Anal. Appl., 304(2005), 423-450.

  19. C.V.Pao Global attractor of coupled difference equations and applications to Lotka-Volterra systems, Advance in Difference Equations, 1(2005) 57-79.

  20. C.V.Pao Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays. Nonlinear Anal. Real World Appl. 5 (2004), 91--104.

  21. C.V.Pao and Xin Lu, Block monotone iterations for numerical solutions of fourth-order nonlinear elliptic boundary value problems, SIAM J. SCI. COMPUT. 25(2003) 164-185.

  22. C.V.Pao Global attractor of a coupled finite difference reaction diffusion system with delays, J. Math. Anal. Appl. 288(2003), 251-273.

  23. C.V.Pao Global asymptotic stability of Lotka-Volterra 3-species reaction-diffusion systems with time delays. J. Math. Anal. Appl. 281 (2003) 186--204.

  24. C.V.Pao Finite difference reaction-diffusion systems with coupled boundary conditions and time delays. J. Math. Anal. Appl. 272 (2002), 407--434.

  25. C.V.Pao Periodic solutions for systems of time-delayed paraboli equations in $\Bbb R\sp n$. Int. J. Pure Appl. Math. 1 (2002),299--315.

  26. C.V.Pao Time delayed parabolic systems with coupled nonlinear boundary conditions. Proc. Amer. Math. Soc. 130 (2002), 1079--1086 .

  27. C.V.Pao Convergence of solutions of reaction-diffusion systems with time delays. Nonlinear Anal. 48 (2002), 349--362.

  28. C.V.Pao Reaction diffusion systems with time delays in a half-space domain. Proceedings of the Third World Congress of Nonlinear Analysts, Part 7 (Catania, 2000). Nonlinear Anal. 47 (2001), 4365--4375.

  29. C.V.Pao Numerical methods for time-periodic solutions of nonlinear parabolic boundary value problems. SIAM J. Numer. Anal. 39 (2001), 647--667.

  30. C.V.Pao Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions. J. Comput. Appl. Math. 136 (2001), 227--243.

  31. C.V.Pao Finite difference solutions of reaction diffusion equations with continuous time delays. Advances in difference equations, III. Comput. Math. Appl. 42 (2001), 399--412.

  32. C.V.Pao Numerical methods for fourth-order nonlinear elliptic boundary value problems. Numer. Methods Partial Differential Equations 17 (2001), 347--368.

  33. C.V.Pao Numerical methods for nonlinear integro-parabolic equations of Fredholm type. Comput. Math. Appl. 41 (2001), 857--877.

  34. C.V.Pao Quenching problem of a functional parabolic equation, Advances in Quenching, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 8 (2001), 89--98.

  35. C.V.Pao System of reaction-diffusion equations in a half -space domain, Commun. Appl. Anal. 5 (2001), 307--318.

  36. C.V.Pao Periodic solutions of parabolic systems with time delays. J. Math. Anal. Appl. 251 (2000), 251--263.

  37. C.V.Pao Periodic solutions of system of parabolic equations in unbounded domains, Lakshmikantham's legacy: a tribute on his 75th birthday. Nonlinear Anal. 40 (2000), 523--535.

  38. J.H.Wang and C.V.Pao Finite difference reaction-diffusion equations with nonlinear diffusion coefficients, Numer. Math. 85 (2000), 485--502.

  39. C.V.Pao On fourth-order elliptic boundary value problems, Proc. Amer. Math. Soc. 128(2000), 1023-1030.

  40. C.V.Pao Quenching problem of a reaction-diffusion equation with time delay, Nonlinear Analysis, 41 (2000), 133--142.

  41. C.V.Pao Dynamics of a Volterra-Lotka competition model with diffusion and time delays, Integral and Integrodifferential Equations, SIMAA 2, Gordon-Breach, Amesterdam, 2000, pp 269-277.

  42. C.V.Pao Numerical methods for systems of nonlinear parabolic equations with time delays, J. Math. Anal. Appl., 240(1999),249-279.

  43. C.V.Pao Periodic solutions of parabolic systems with nonlinear boundary conditions, J. Math. Anal. Appl., 234(1999), 695-716.

  44. C.V.Pao Numerical analysis of coupled system of nonlinear parabolic equations, SIAM J. Numer. Anal.,36(1999), 393-416.

  45. Z.P.Yang and C.V.Pao Positive solutions and dynamics of some reaction diffusion models in HIV transmission, Nonlinear Analysis, TMA, 35(1999), 323-341.

  46. C.V.Pao Parabolic systems in unbounded domains, II. Equations with time delay.J. Math. Anal. Appl., 235(1998), 557-586.

  47. C.V.Pao Monotone iterations for numerical solutions of reaction-diffusion equations with time delay, Numer. Methods Parttial Differential Eq. 14(1998), 339-351.

  48. C.V.Pao Accelerated monotone iterative methods for finite difference equations of reaction-diffution, Numer. Math. 79(1998), 261-281.

  49. C.V.Pao Monotone Methods for a finite Difference System of Reaction Diffusion Equation with Time Delay, in "Advances in Diffusion Equations II", J. Compu. Math. Appl. 36(1998) 37-47.

  50. C.V.Pao Dynamics of a Finite Difference System of Reaction Diffusion Equations with Time Delay, J. Difference Equations Appl., 4(1998), 1-11.

  51. C.V.Pao Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions, J. Comput. Appl. Math. 88(1998), 225-238.

  52. C.V.Pao Parabolic systems in unbounded domains. I. Existence and dynamics. J. Math. Anal. Appl., 217(1998),129-160

  53. C.V.Pao Dynamics of reaction-diffusion systems and applications, Nonlinear Analysis, TMA, 30(1997) 3371-3377

  54. C.V.Pao Dynamics of weakly coupled parabolic systems with nonlocal boundary conditions, in " Advances in Nonlinear Dynamics": Stability and Control, vol. 5, 1997, 319-327

  55. C.V.Pao System of Parabolic Equations with Continuous and Discrete Delays, J. Math. Anal. Appl., 205(1997), 157-185

  56. C.V.Pao Blowing-up and asymptotic behavior of solutions for a finite difference system, J. Applicable Analysis, 62(1996), 29-38

  57. C.V.Pao Quasisolutions and Global Attractor of Reaction Diffusion Systems, Nonlinear Analysis: TMA, 26(1996), 1889--1903

  58. C.V.Pao Dynamics of Nonlinear Parabolic Systems with Time Delays, J. Math. Anal. Appl., 198(1996), 751--779

  59. S.Carl, Ch. Grossmann and C.V.Pao Existence and Monotone Iterations for Parabolic Differential Inclusions, Comm. Appl. Nonlin. Anal., 3(1996), 1--24

  60. C.V.Pao Block Monotone Iterative Methods for Numerical Solutions of Nonlinear elliptic Equations, Numer. Math., 72(1995), 239--262

  61. C.V.Pao Coupled Nonlinear Parabolic Systems with Time Delays, J. Math. Anal. Appl., 196(1995), 237--265

  62. C.V.Pao Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions, J. Math. Anal. Appl., 195(1995), 702--718

  63. C.V.Pao Finite Difference Reaction Diffusion Equations with Nonliner Boundary Conditions, Numer. Meth. Part. Diff. Eqs., 11(1995), 355--374

  64. W.H.Ruan and C.V.Pao Positive Steady-state Solutions of a Competing Reaction Diffusion System, J. Differential Equations, 117(1995), 411--427

  65. C.V.Pao Dynamics of a Reaction Diffusion System Arising from Ecology, Nonlinear times and Digest, 2(1995), 47--57

  66. C.V.Pao Dynamics of Reaction Diffusion Equations with Nonlocal Boundary Conditions, Quart. Appl. Math., 53(1995), 173--186