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Approximate controllability of second-order nonlocal impulsive functional integro-differential systems in Banach spaces

Dumitru Baleanu|Mani Mallika Arjunan|Mahalingam Nagaraj|Selvaraj Suganya
대한수학회 (The Korean Mathematical Society)|2018.07|대한수학회보 (Bulletin of the KMS)|제55권 제4호|pp. 1065-1092

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키워드

fixed pointnonlocal conditionsimpulsive conditionsintegro-differential equationssemigroup theorycosine family
주제분류수학

초록

This manuscript is involved with a category of second-order impulsive functional integro-differential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence and approximate controllability of mild solutions are acquired by making use of the theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem. An illustration is additionally furnished to prove the attained principles.

Abstract

This manuscript is involved with a category of second-order impulsive functional integro-differential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence and approximate controllability of mild solutions are acquired by making use of the theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem. An illustration is additionally furnished to prove the attained principles.

참고문헌 (30)

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