On Differentiability of Solutions with Respect to Parameters in State-Dependent Delay Equations

Journal of Differential Equations

Volumn 135, Issue 2, 1997, Pages 192-237

  Hartung, Ferenc ^a   Turi, Janos ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b UNIVERSITY OF TEXAS AT DALLAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000591125     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.3238     Document Type: Article

References (8)

1. Brokate M., Colonius F. Linearizing equations with state-dependent delays. Appl. Math. Optim. 21:1990;45-52.
2. Driver R. D. Existence theory for a delay-differential system. Contributions Differential Equations. 1:1961;317-336.
3. Hale J. K., Verduyn Lunel S. M. Introduction to Functional Differential Equations. 1993;Spinger-Verlag, New York.
4. Hale J. K., Ladeira L. A. C. Differentiability with respect to delays. J. Differential Equations. 92:1991;14-26.
5. F. Hartung, 1995, On classes of functional differential equations with state-dependent delays, University of Texas at Dallas.
6. Ladeira L. A. C. Continuity of fixed points. J. Math. Anal. Appl. 169:1992;350-358.
7. A. Manitius, On the optimal control of systems with a delay depending on state, control, and time, Séminaries IRIA, Analyse et Controle de Systémes, IRIA, France, 1975.
8. Nashed M. Z. Differentiability and related properties of nonlinear operators: some aspects of the role of differentials in nonlinear functional analysis. Nonlinear Functional Analysis and Applications. 1971;Academic Press, New York.