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Existence results of Sobolev type neutral impulsive integrodierential equations in Banach spaces
R. Poongodi,R. Murugesu,R.Nirmalkumar 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.1
This paper deals with the study of existence of mild solutions of the neutral impulsive integrodifferential equations with finite delay in Banach spaces. The results are obtained via semigroup theory and we use the Schaefer's fixed point theorem to prove the main results. Finally an example is provided to prove the obtained the results.
GLOBAL EXISTENCE FOR VOLTERRA-FREDHOLM TYPE FUNCTIONAL IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS
V. VIJAYAKUMAR,K. ALAGIRI PRAKASH,R. MURUGESU 한국산업응용수학회 2013 Journal of the Korean Society for Industrial and A Vol.17 No.1
In this paper, we study the global existence of solutions for the initial value problems for Volterra-Fredholm type functional impulsive integrodifferential equations. Using the Leray-Schauder Alternative, we derive conditions under which a solution exists globally.