Controllability of second-order integrodifferential evolution systems in Banach spaces

In this paper, we study the controllability of second-order nonlinear integrodifferential systems in Banach spaces. Further, we derive a set of sufficient conditions for the controllability of second-order nonlinear integrodifferential evolution systems in Banach spaces. The results are established...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2005-06, Vol.49 (11), p.1623-1642
Main Authors: Balachandran, K., Park, D.G., Manimegalai, P.
Format: Article
Language:English
Subjects:
Banach space
Controllability
Evolution
Evolution systems
Fixed-point theorem
Linear operators
Mathematical models
Nonlinearity
Second-order integrodifferential systems
Theorems
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Summary:In this paper, we study the controllability of second-order nonlinear integrodifferential systems in Banach spaces. Further, we derive a set of sufficient conditions for the controllability of second-order nonlinear integrodifferential evolution systems in Banach spaces. The results are established by using the theory of strongly continuous cosine families of bounded linear operators and the Schaefer fixed-point theorem.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2005.03.001