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Existence of weak and strong solutions of an integrodifferential equation in Banach spaces

โœ Scribed by Kanakaraj, M.

Publisher
Springer-Verlag
Year
1998
Tongue
English
Weight
320 KB
Volume
108
Category
Article
ISSN
0370-0089

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๐Ÿ“œ SIMILAR VOLUMES

Existence of Solutions of Nonlinear Neut
Existence of Solutions of Nonlinear Neutral Integrodifferential Equations in Banach Spaces
โœ J.P Dauer; K Balachandran ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

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In this paper we give a generalization to recent results by using weak and strong measures of noncompactness. For f : ยฝ0; T ร‚ E ! E with E is a Banach space we prove that, under suitable assumptions, the Cauchy problem has at least one weak solution furthermore, with certain conditions, the Cauchy