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Existence of solutions of nonlinear stochastic integrodifferential inclusions in a Hilbert space

✍ Scribed by P. Balasubramaniam; D. Vinayagam

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
608 KB
Volume
50
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, the existence of mild solutions of nonlinear stochastic integrodifferentiai inclusions in a Hilbert space is studied. The results are obtained by using a fixed-point theorem for condensing map due to Martelli. The result is illustrated with an example.

πŸ“œ SIMILAR VOLUMES

Existence of Solutions of Nonlinear Neut
Existence of Solutions of Nonlinear Neutral Integrodifferential Equations in Banach Spaces
✍ J.P Dauer; K Balachandran πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 102 KB

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.