Browsing by Author "T. Gunasekar"
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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, 34B15Item EXISTENCE OF SOLUTIONS FOR IMPULSIVE QUASILINEAR MIXED VOLTERRA-FREDHOLM TYPE INTEGRODIFFERENTIAL EQUATIONS(International Journal of Pure and Applied Mathematics, 2014) F. Paul Samuel; K. Balachandran; T. GunasekarThe paper deals with the study of existence of solutions of quasilinear mixed volterra-Fredholm-type integrodifferential equations with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using a fixed point technique and semigroup theory. AMS Subject Classification: 34A37, 34G60, 34G20Item Existence of Solutions for Neutral Functional Integrodifferential Evolution Equations with Non Local Conditions(Indian Journal of Science and Technology, 2015-02) S. Manimaran; T. Gunasekar; G. V. Subramaniyan; F. Paul SamuelWe study the existence of mild and strong solutions for nonlinear neutral functional integrodifferential evolution equations with nonlocal conditions in Banach spaces. The results are obtained by using the fractional powers of operators and Sadovskii’s fixed point theorem.Item Existence results for nonlocal impulsive neutral functional integro-differential equations(International Journal of Pure and Applied Mathematics, 2017) M.L. Suresh; T. Gunasekar; F. Paul SamuelIn this manuscript, we establish the existence of nonlocal impulsive neutral functional integro-differential equations with bounded delay in Banach spaces. Some existence results of mild solutions to such problems are obtained under the conditions in respect of the Hausdorff’s measures of noncompactness.