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Bull. Korean Math. Soc. 1999; 36(1): 1-13
Printed March 1, 1999
Copyright © The Korean Mathematical Society.
Controllability of second order semilinear Volterra integrodifferential systems in Banach spaces
K. Balachandran, J. Y. Park, and S. Marshal Anthoni
Bharathiar University, Pusan National University, Bharathiar University
Sufficient conditions for controllability of semilinear second order Volterra integrodifferential systems in Banach spaces are established using the theory of strongly continuous cosine families. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.
Keywords: controllability, semilinear Volterra integrodifferential system, fixed point theorem
MSC numbers: 93B05
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