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arXiv · 1402.5638

Existence Results for Some Nonautonomous Integro-differential Equations

Toka Diagana
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Abstract

In this paper we make a subtle use of tools from operator theory and the Schauder fixed-point theorem to establish the existence of pseudo-almost automorphic solutions to some classes of nonautonomous integro-differential equations with pseudo-almost automorphic forcing terms. To illustrate our main results, the existence of pseudo-almost automorphic solutions to a parabolic Neumann boundary value problem that models population genetics and nerve pulse propagation will be discussed.

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Toka Diagana. 2014-02-23. Existence Results for Some Nonautonomous Integro-differential Equations. https://arxiv.org/abs/1402.5638

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