Controllability of Second Order Impulsive Neutral Functional Differential Inclusions with Infinite Delay

Dimplekumar N. Chalishajar ()
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Dimplekumar N. Chalishajar: Virginia Military Institute

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 2, No 17, 672-684

Abstract: Abstract This paper is concerned with controllability of a partial neutral functional differential inclusion of second order with impulse effect and infinite delay. We introduce a new phase space to prove the controllability of an inclusion which consists of an impulse effect with infinite delay. We claim that the phase space considered by different authors is not correct. We establish the controllability of mild solutions using a fixed point theorem for contraction multi-valued maps and without assuming compactness of the family of cosine operators.

Keywords: Controllability; Second order impulsive neutral differential inclusions; Fixed point theorem for multi-valued maps; Strongly continuous cosine family (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-012-0025-6

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