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http://dx.doi.org/10.4134/BKMS.2011.48.4.813

CONTROLLABILITY OF SECOND ORDER SEMI-LINEAR NEUTRAL IMPULSIVE DIFFERENTIAL INCLUSIONS ON UNBOUNDED DOMAIN WITH INFINITE DELAY IN BANACH SPACES  

Chalishajar, Dimplekumar N. (Department of Mathematics and Computer Science Virginia Military Institute (VMI))
Acharya, Falguni S. (Department of Applied Sciences and Humanities Institute of Technology and Management (ITM) Universe)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.4, 2011 , pp. 813-838 More about this Journal
Abstract
In this paper, we prove sufficient conditions for controllability of second order semi-linear neutral impulsive differential inclusions on unbounded domain with infinite delay in Banach spaces using the theory of strongly continuous Cosine families. We shall rely on a fixed point theorem due to Ma for multi-valued maps. The controllability results in infinite dimensional space has been proved without compactness on the family of Cosine operators.
Keywords
controllability; semi-linear neutral impulsive inclusions; convex multi-valued map; fixed point;
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