Existence results for Implicit Functional Evolution Equations and Parabolic IBVP'S
Abstract
In this paper we prove existence results for initial value problems of implicit functional evolution equations involving discontinuous nonlinearities. One of the main tools is a fixed point result proved in [7] for increasing self-mappings of closed balls in ordered Banach spaces. The obtained existence results are applied to implicit functional parabolic initial-boundary value problems.
Published
2003-08-01
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Section
Articles