Time delayed parabolic systems with coupled nonlinear boundary conditions

Author:
C. V. Pao

Journal:
Proc. Amer. Math. Soc. **130** (2002), 1079-1086

MSC (1991):
Primary 35K50; Secondary 35K57

DOI:
https://doi.org/10.1090/S0002-9939-01-06319-5

Published electronically:
September 14, 2001

MathSciNet review:
1873782

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Abstract: The aim of this paper is to show the existence and uniqueness of a solution for a system of time-delayed parabolic equations with coupled nonlinear boundary conditions. The time delays are of discrete type which may appear in the reaction function as well as in the boundary function. The approach to the problem is by the method of upper and lower solutions for nonquasimonotone functions.

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Additional Information

**C. V. Pao**

Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695-8205

Email:
cvpao@math.ncsu.edu

DOI:
https://doi.org/10.1090/S0002-9939-01-06319-5

Keywords:
Parabolic systems,
time delays,
nonlinear boundary conditions,
existence-uniqueness,
nonquasimonotone functions,
upper and lower solutions

Received by editor(s):
October 5, 2000

Published electronically:
September 14, 2001

Communicated by:
David S. Tartakoff

Article copyright:
© Copyright 2001
American Mathematical Society