Browsing by Author "M. Mallika Arjunan"
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Item Controllability Results for Impulsive Neutral Functional Evolution Integrodifferential Inclusions with Infinite Delay(European International Journal of Science and Technology, 2013-06) T. Gunasekar; F. Paul Samuel; M. Mallika ArjunanIn this paper controllability of the following impulsive partial neutral functional integrodifferential evolution inclusions with infinite delay in Banach spaces. The approach is used the nonlinear alternative of Leray-Schauder type multivalued maps. An example is also given to illustrate our result.Item CONTROLLABILITY RESULTS FOR SECOND ORDER IMPULSIVE NEUTRAL FUNCTIONAL INTEGRODIFFERENTIAL INCLUSIONS WITH INFINITE DELAY(Italian Journal of Pure and Applied Mathematics, 2013) F. Paul Samuel; T. Gunasekar; M. Mallika ArjunanThis paper is concerned with the controllability of a partial neutral func- tional integrodi®erential inclusion of second order with impulse e®ect and in¯nite delay in Banach spaces. The controllability of mild solutions using a ¯xed point theorem for contraction multi-valued maps and without assuming compactness of the family of cosine operators.Item EXISTENCE OF SOLUTIONS FOR IMPULSIVE PARTIAL NEUTRAL FUNCTIONAL EVOLUTION INTEGRODIFFERENTIAL INCLUSIONS WITH INFINITE DELAY(International Journal of Pure and Applied Mathematics, 2013) T. Gunasekar; F. Paul Samuel; M. Mallika ArjunanThis paper investigates a class of impulsive partial neutral func- tional integrodifferential evolution inclusions with infinite delay in Banach spaces. The existence of mild solutions of these inclusions is determined under the mixed Lipschitz and Caratheodory conditions by using another nonlinear alternative of Leray-Schauder type for multivalued maps due to D. O’Regan. At the end, one example is presented. AMS Subject Classification: 34A60, 34A37, 34G25, 34B15