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Non-linear partial differential equations with discrete state-dependent delays in a metric space

✍ Scribed by Alexander V. Rezounenko

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 333 KB
Volume: 73
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.05.005

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✦ Synopsis

We investigate a class of non-linear partial differential equations with discrete statedependent delays. The existence and uniqueness of strong solutions for initial functions from a Banach space are proved. To get the well-posed initial value problem we restrict our study to a smaller metric space, construct the dynamical system and prove the existence of a compact global attractor.

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