International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 21-24, Pages 1133-1149
doi:10.1155/S0161171204310410
Existence of mild solutions of second-order neutral functional differential inclusions with nonlocal conditions in Banach spaces
S.Marshal Anthoni1
, J.-H. Kim1
and J.P. Dauer3
1Department of Mathematics, Yonsei University, Seoul 120-749, South Korea
3Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga 37403-2598, TN, USA
Abstract
We study the existence of mild solutions of the nonlinear second-order neutral functional differential and integrodifferential inclusions with nonlocal conditions in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families of bounded linear operators and a fixed point theorem for condensing maps due to Martelli.