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Controllability of Functional Semilinear Integrodifferential Systems in Banach Spaces

โœ Scribed by K. Balachandran; R. Sakthivel


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
88 KB
Volume
255
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


Sufficient conditions for controllability of functional semilinear integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem.


๐Ÿ“œ SIMILAR VOLUMES


Controllability of Sobolev-Type Integrod
โœ K. Balachandran; J.P. Dauer ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 155 KB

Sufficient conditions for controllability of Sobolev-type integrodifferential systems in Banach spaces are established. The results are obtained using compact semigroups and the Schauder fixed-point theorem. As an example is provided to illustrate the results.

Local Controllability of Quasilinear Int
โœ K. Balachandran; J.Y. Park; E.R. Anandhi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 95 KB

Sufficient conditions for local controllability of quasilinear integrodifferential systems in Banach spaces are established. The results are obtained by using the analytic semigroup theory and the Schauder fixed-point theorem. An example is provided to illustrate the theory.

Initial Value Problems for Systems of In
โœ Song Guang-xing ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Nonlocal Cauchy Problems for Neutral Fun
โœ M. Benchohra; S.K. Ntouyas ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 121 KB

In this paper we investigate the existence of mild solutions on a compact interval to initial value problems for neutral functional differential and integrodifferential inclusions in Banach spaces with nonlocal conditions. The results are obtained by using a fixed point theorem for condensing maps d