Differential equations with discrete state-dependent delay : uniqueness and well-posedness in the space of continuous functions

Content Provider	Semantic Scholar
Author	Rezounenko, Alexander V.
Copyright Year	2008
Abstract	Partial differential equations with discrete (concentrated) statedependent 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.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/0801.4715v2.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/0801.4715v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Concentrate Dosage Form Dynamical system Well-posed problem Whole Earth 'Lectronic Link
Content Type	Text
Resource Type	Article