ON DIFFERENTIABILITY OF SOLUTIONS WITH RESPECT TO PARAMETERS IN STATE-DEPENDENT DELAY EQUATIONS

Authors
HARTUNG F TURI J
Citation
F. Hartung et J. Turi, ON DIFFERENTIABILITY OF SOLUTIONS WITH RESPECT TO PARAMETERS IN STATE-DEPENDENT DELAY EQUATIONS, Journal of differential equations, 135(2), 1997, pp. 192-237
Citations number
8
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of differential equations → ACNP
ISSN journal
00220396
Volume
135
Issue
2
Year of publication
1997
Pages
192 - 237
Database
ISI
SICI code
0022-0396(1997)135:2<192:ODOSWR>2.0.ZU;2-G
Abstract
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 less than or equal to p < infinity). In establishing our main results we make use of a version of the Uniform Contraction Principle for quasi-Banach spaces. (C) 1997 Academic Press.