Volume 2, Issue 3, December 2018, Pages: 32-49

K. Karthikeyan^{1}* and G.S. Murugapandian^{2}

^{1}Department of Mathematics, K.S.Rangasamy College of Technology, Tiruchengode-637215, Tamil Nadu, India.
^{2}Department of Mathematics, K.S.R. College of Engineering, Tiruchengode 637 215, Tamil Nadu, India.

In this paper, we prove the solvability of mild solutions for first-order impulsive evolution neutral functional perturbed differential equations with infinite delay. Our main tools are the nonlinear alternative proved by Avramescu for the sum of contractions and completely continuous maps in Frechet spaces and the semigroup theory.

Perturbed neutral impulsive differential equations, fixed point theory, nonlinear alternative, infinite delay, Frechet spaces.

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