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Controllability of Second Order Semi-Linear Neutral Functional Differential Inclusions in Banach Spaces

✍ Scribed by Raju K. George; Dimplekumar N. Chalishajar; Akambadath K. Nandakumaran

Publisher
SP Birkhäuser Verlag Basel
Year
2004
Tongue
English
Weight
208 KB
Volume
1
Category
Article
ISSN
1660-5446

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Controllability of second-order semiline
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✍ K. Balachandran; S.Marshal Anthoni 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 438 KB

Sufficient conditions for controllability of semilinear second-order neutral functional differential systems in Banach spaces are established using the theory of strongly continuous cosine families. The results are obtained by using the Leray-Schauder alternative.

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The aim of this paper is to study the existence of solutions to some classes of impulsive neutral functional differential inclusions in Banech spacea. We shall make use of a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler.