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A note on semilinear abstract functional differential and integrodifferential equations with infinite delay

✍ Scribed by Jin Liang; Ti-Jun Xiao; J van Casteren

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
286 KB
Volume
17
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this note, we obtain some new existence and uniqueness theorems for mild solutions of the Cauchy problems for semilinear abstract functional differential and integrodifferential equations with infinite delay. (~) 2004 Elsevier Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

The Cauchy problem for nonlinear abstrac
The Cauchy problem for nonlinear abstract functional differential equations with infinite delay
✍ Jin Liang; Ti-Jun Xiao πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 466 KB

In this paper, we use existence families and admissible phase spaces to study the Cauchy problem for a class of nonlinear abstract functional differential equations with infinite delay in a unified way. Our main results concern the existence and uniqueness of mild solutions, strong solutions, and cl