Article ID Journal Published Year Pages File Type
838794 Nonlinear Analysis: Real World Applications 2007 17 Pages PDF
Abstract

The purpose of this work is to investigate the uniqueness and existence of nonlocal initial problems for a system of nonlinear parabolic equations weakly coupled with ordinary differential equations. The system of equations is considered in bounded and unbounded spatial domains. The uniqueness of the classical solution is proved by means of comparison principles for differential inequalities. The existence of the unique solution is obtained via a monotone iterative method. Applications are given to some model problems in epidemiology and ecology.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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