Time delayed parabolic systems with coupled nonlinear boundary conditions
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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.References
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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
- Received by editor(s): October 5, 2000
- Published electronically: September 14, 2001
- Communicated by: David S. Tartakoff
- © Copyright 2001 American Mathematical Society
- 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
- MathSciNet review: 1873782