Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843352 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 9 Pages |
Abstract
Partial differential equations with discrete (concentrated) state-dependent delays in the space of continuous functions are investigated. In general, the corresponding initial value problem is not well-posed. So we find an additional assumption on the state-dependent delay function to guarantee the well-posedness. For the constructed dynamical system we study the long-time asymptotic behavior and prove the existence of a compact global attractor.
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Authors
Alexander V. Rezounenko,