Dr. C. V. Pao
Professor of Mathematics
Dynamical Systems and Time Delays (09/09/07)
C.V.Pao, Global attractor of a competitor-competitor-mutualist
reaction-diffusion system with time delays, Nonlinear Analysis,
(to appear).
M.Y.Wang and C.V. Pao, Time-delayed finite difference
reaction-diffusion systems with nonquasimonotone functions, Numer.
Math., 103(2006), 485-513.
C.V.Pao, Stability and attractivity of periodic solutions of
parabolic systems with time delays, J. Math. Anal. Appl., 304(2005),
423-450.
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.
C.V.Pao, Stability and attractivity of periodic solutions of
parabolic systems with time delays, J. Math. Anal. Appl., 304(2005),
423-450.
C.V.Pao, Global attractor of coupled difference equations and
applications to Lotka-Volterra systems, Advance in Difference Equations,
1(2005) 57-79.
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.
C.V.Pao Global attractor of a coupled finite difference
reaction diffusion system with delays, J. Math. Anal. Appl.
288(2003), 251-273.
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.
C.V.Pao Time delayed parabolic systems with coupled nonlinear
boundary conditions. Proc. Amer. Math. Soc. 130 (2002), 1079--1086
.
C.V.Pao Convergence of solutions of reaction-diffusion systems
with time delays. Nonlinear Anal. 48 (2002), 349--362.
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.
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.
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.
C.V.Pao Periodic solutions of parabolic systems with time
delays. J. Math. Anal. Appl. 251 (2000), 251--263.
C.V.Pao Quenching problem of a reaction-diffusion equation
with time delay, Nonlinear Analysis, 41 (2000), 133--142.
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.
C.V.Pao Numerical methods for systems of nonlinear parabolic
equations with time delays, J. Math. Anal. Appl., 240(1999),249-279.
C.V.Pao Periodic solutions of parabolic systems with nonlinear
boundary conditions, J. Math. Anal. Appl., 234(1999), 695-716.
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.
C.V.Pao Parabolic systems in unbounded domains, II. Equations
with time delay.
C.V.Pao Monotone iterations for numerical solutions of
reaction-diffusion equations with time delay, Numer. Methods Parttial
Differential Eq. 14(1998), 339-351.
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.
C.V.Pao Dynamics of a Finite Difference System of Reaction
Diffusion Equations with Time Delay, J. Difference Equations Appl.,
4(1998), 1-11.
C.V.Pao Asymptotic behavior of solutions of reaction-diffusion
equations with nonlocal boundary conditions, J. Comput. Appl. Math.
88(1998), 225-238.
C.V.Pao Parabolic systems in unbounded domains. I. Existence
and dynamics. J. Math. Anal. Appl., 217(1998),129-160
C.V.Pao Dynamics of reaction-diffusion systems and
applications, Nonlinear Analysis, TMA, 30(1997) 3371-3377
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
C.V.Pao System of Parabolic Equations with Continuous and
Discrete Delays, J. Math. Anal. Appl., 205(1997), 157-185
C.V.Pao Blowing-up and asymptotic behavior of solutions
for a finite difference system, J. Applicable Analysis, 62(1996),
29-38
C.V.Pao Quasisolutions and Global Attractor of Reaction
Diffusion Systems, Nonlinear Analysis: TMA, 26(1996),
1889--1903
C.V.Pao Dynamics of Nonlinear Parabolic Systems with
Time Delays. J. Math. Anal. Appl., 198(1996), 751--779
C.V.Pao Coupled Nonlinear Parabolic Systems with Time
Delays, J. Math. Anal. Appl., 196(1995), 237--265
C.V.Pao Dynamics of a Reaction Diffusion System Arising
from Ecology, Nonlinear times and Digest, 2(1995), 47--57
C.V.Pao Dynamics of Reaction Diffusion Equations with
Nonlocal Boundary Conditions, Quart. Appl. Math., 53(1995),
173--186
C.V.Pao Comparison Methods and Stability Analysis of
Reaction Diffusion Systems, ``Comparison Methods and Stability
Theory''(Ed. by X.~Liu and D.~Siegel), Marcel Dekker, New York, Lecture
Notes in Pure and Appl.Math., V162, 277--292, 1994
C.V.Pao Positive Solutions and Dynamics of a Finite
Differenc Reaction Diffusion System, Numer. Meth. Part. Diff.
Eqs., 9(1993),
W.H.Ruan and C.V.Pao Asymptotic Behavior and
Positive Solutions of a Chemical Reaction Diffusion System, J.
Math.Anal. Appl., 169(1992), 157--178
C.V.Pao Blowing-up of Solution for a Nonlocal
Reaction-diffusion Problem in Combustion Theory, J. Math. Anal.
Appl., 166(1992),591--600
C.V.Pao Asymptotic Behavior of Solutions for Finite
Difference Equations of Reaction Diffusion, J. Math. Anal. Appl.,
144(1989),206--225
C.V.Pao Asymptotic Behavior of Solutions for the
Belousov-Zhabotinskii Reaction Diffusion System, J. Partial Diff. Eqs.,
1(1988), 61--66
C.V.Pao On a Coupled Reaction Diffusion System with Time
Delays SIAM J. Math. Anal., 18(1987), 1026--1039
C.V.Pao A Three-compartment Reaction System with the
Effect of Diffusion and Time Delay, Lecture Notes in Pure and Appl.
Math. V(Ed. by J. H. Lightbourne and S. M. Rankin) 102, 1985,
111--114
C.V.Pao and J.M.Mahaffy Qualitative Analysis of a
Coupled Reaction Diffusion Model in Biology with Time Delays, J.
Math. Anal.Appl., 109(1985), 355--371.
J.M.Mahaffy and C.V.Pao Models of Genetic Control by
Repression with Time Delays and Spatial Effects, J. Math. Biol.,
20(1984), 39--57.
Mail to: Dr. Pao