Differentiability of Solutions with Respect to the Initial Data in Differential Equations with State-dependent Delays
In this paper we consider a class of differential equations with state-dependent delays. We show differentiability of the solution with respect to the initial function and the initial time for each fixed time value assuming that the state-dependent time lag function is strictly monotone increasing.
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Published in | Journal of dynamics and differential equations Vol. 23; no. 4; pp. 843 - 884 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Boston
Springer US
01.12.2011
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Subjects | |
Online Access | Get full text |
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Summary: | In this paper we consider a class of differential equations with state-dependent delays. We show differentiability of the solution with respect to the initial function and the initial time for each fixed time value assuming that the state-dependent time lag function is strictly monotone increasing. |
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ISSN: | 1040-7294 1572-9222 |
DOI: | 10.1007/s10884-011-9218-1 |