Open AccessTime delayed parabolic systems with coupled nonlinear boundary conditions
Author(s) -
C. V. Pao
Publication year - 2001
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-01-06319-5
Subject(s) - uniqueness , nonlinear system , mathematics , boundary value problem , mathematical analysis , parabolic partial differential equation , boundary (topology) , function (biology) , robin boundary condition , type (biology) , mixed boundary condition , partial differential equation , physics , quantum mechanics , evolutionary biology , biology , ecology
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.