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Chalishajar, Dimplekumar N.,Acharya, Falguni S. Korean Mathematical Society 2011 대한수학회보 Vol.48 No.4
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.
Dimplekumar N. Chalishajar,Falguni S. Acharya 대한수학회 2011 대한수학회보 Vol.48 No.4
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.
Dimplekumar N. Chalishajar,R. Ramesh 한국전산응용수학회 2022 Journal of Applied and Pure Mathematics Vol.4 No.1
This work considers the existence and uniqueness of fuzzy solutions for impulsive abstract partial neutral functional differential systems. To establish the existence and uniqueness, we apply the concept of impulse, semi group theory and suitable fixed point theorem.
CHALISHAJAR, DIMPLEKUMAR N.,RAMESH, R. The Korean Society for Computational and Applied M 2022 Journal of applied and pure mathematics Vol.4 No.1/2
This work considers the existence and uniqueness of fuzzy solutions for impulsive abstract partial neutral functional differential systems. To establish the existence and uniqueness, we apply the concept of impulse, semi group theory and suitable fixed point theorem.