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

K. Balachandran and S. Marshal Anthoni

 Bharathiar University, Department of Mathematics, Coimbatore 641 046, India
Received 1 January 1998; Revised 1 September 1998

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.