Journal of Applied Mathematics and Stochastic Analysis
Volume 12 (1999), Issue 3, Pages 265-277
doi:10.1155/S1048953399000258
Controllability of second order semilinear ordinary differential systems in Banach spaces
Bharathiar University, Department of Mathematics, Coimbatore 641 046, India
Received 1 January 1998; Revised 1 September 1998
Copyright © 1999 K. Balachandran and S. Marshal Anthoni. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Sufficient conditions for controllability of semilinear second order ordinary
differential systems in Banach spaces are established using the theory of
strongly continuous cosine families. The results obtained are based on the
Schaefer theorem.