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Existence of Solutions of Nonlinear Neutral Integrodifferential Equations in Banach Spaces

✍ Scribed by J.P Dauer; K Balachandran

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
102 KB
Volume
251
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we prove the existence of mild solutions of a nonlinear neutral integrodifferential equation in a Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application the controllability problem for the neutral system is discussed.

πŸ“œ SIMILAR VOLUMES

Initial Value Problems for Systems of In
Initial Value Problems for Systems of Integrodifferential Equations in Banach Spaces
✍ Song Guang-xing πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 84 KB

In this paper, by the use of new comparison results and mixed monotone iterative techniques, the existence of solutions of initial value problems for systems of integrodifferential equations in Banach spaces is discussed. The results obtained in this paper generalize and improve the results correspo