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Existence results for some partial functional differential equations with state-dependent delay

✍ Scribed by Mohammed Belmekki; Mouffak Benchohra; Khalil Ezzinbi

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
232 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper, we establish sufficient conditions for the existence of solutions for some partial functional differential equations with state-dependent delay; we assume that the linear part is not necessarily densely defined and satisfies the well-known Hille-Yosida conditions. Our approach is based on a nonlinear alternative of Leray-Schauder type and integrated semigroup theory. An application is provided to a reaction-diffusion equation with state-dependent delay.

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