Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841324 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 8 Pages |
Abstract
We investigate a class of non-linear partial differential equations with discrete state-dependent 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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Authors
Alexander V. Rezounenko,