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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
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

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