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Differentiability of Solutions with Respect to the Initial Data in Differential Equations with State-dependent Delays

โœ Scribed by Ferenc Hartung

Book ID
106408640
Publisher
Springer US
Year
2011
Tongue
English
Weight
424 KB
Volume
23
Category
Article
ISSN
1040-7294

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๐Ÿ“œ SIMILAR VOLUMES

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โœ Ferenc Hartung; Janos Turi ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 573 KB

In this paper we study differentiability of solutions with respect to parameters in state-dependent delay equations. In particular, we give sufficient conditions for differentiability of solutions in the W 1, p norm (1 p< ). In establishing our main results we make use of a version of the Uniform Co

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In this paper, we investigate the asymptotic behavior of solutions to a differential equation with state-dependent delay. It is shown that every bounded solution of such an equation tends to a constant as t โ†’ โˆž. Our results improve and extend some corresponding ones already known.