Sufficient conditions for existence of mild solutions for abstract second-order neutral functional integrodifferential equations are established by using the theory of strongly continuous cosine families of operators and the Schaefer theorem.
Some comments on:Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations
✍ Scribed by E. Hernández; M.A. McKibben
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 814 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0898-1221
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In this paper, we establish a set of sufficient conditions for the existence of mild solutions of nonlinear neutral integrodifferential equations in Banach spaces by using the Schaefer fixed-point theorem. An application is provided to illustrate the theory.
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