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Controllability of Sobolev-Type Integrodifferential Systems in Banach Spaces

โœ Scribed by K. Balachandran; J.P. Dauer


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
155 KB
Volume
217
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


Controllability of Functional Semilinear
โœ K. Balachandran; R. Sakthivel ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 88 KB

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.

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.

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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

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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.