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Controllability of second-order semilinear neutral functional differential systems in Banach spaces

✍ Scribed by K. Balachandran; S.Marshal Anthoni

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
438 KB
Volume
41
Category
Article
ISSN
0898-1221

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✦ Synopsis

Sufficient conditions for controllability of semilinear second-order neutral functional differential systems in Banach spaces are established using the theory of strongly continuous cosine families. The results are obtained by using the Leray-Schauder alternative.

πŸ“œ SIMILAR VOLUMES

Controllability of Functional Semilinear
Controllability of Functional Semilinear Integrodifferential Systems in Banach Spaces
✍ K. Balachandran; R. Sakthivel πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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.

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✍ K. Balachandran; R. Sakthivel; J.P. Dauer πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 409 KB

Sufficient conditions for controllability of neutral functional integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem. An example is provided to illustrate the theory.

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✍ K. Balachandran; J.P. Dauer πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 234 KB

Sufficient conditions for a new type of controllability of semilinear systems in a Banach space are established. The results are obtained by using the Schauder fixed-point theorem. (~) 2001 Elsevier Science Ltd. All rights reserved.

Controllability of fractional-order impu
Controllability of fractional-order impulsive neutral functional infinite delay integrodifferential systems in Banach spaces
✍ Zhixin Tai; Xingcheng Wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 465 KB

In this work the controllability of fractional impulsive neutral functional integrodifferential systems in a Banach space has been addressed. Sufficient conditions for the controllability are established using fractional calculus, a semigroup of operators and Krasnoselskii's fixed point theorem.