Discontinuity, Nonlinearity, and Complexity
Existence of Semi Linear Impulsive Neutral Evolution InclusionsWith Infinite Delay in Frechet Spaces
Discontinuity, Nonlinearity, and Complexity 5(3) (2016) 297312  DOI:10.5890/DNC.2016.09.008
Dimplekumar N. Chalishajar; K. Karthikeyan; A. Anguraj
Department of Applied Mathematics, Virginia Military Institute (VMI), 431, Mallory Hall, Lexington, VA 24450, USA
Department of Mathematics, KSR College of Technology, Tiruchengode637215, Tamilnadu, India
Department of Mathematics, PSG College of Arts and Science, Coimbatore 641 014, Tamil Nadu, India
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Abstract
In this paper, sufficient conditions are given to investigate the existence of mild solutions on a semiinfinite interval for first order semi linear impulsive neutral functional differential evolution inclusions with infinite delay using a recently developed nonlinear alternative for contractivemultivalued maps in Frechet spaces due to Frigon combined with semigroup theory. The existence result has been proved without assumption of compactness of the semigroup. We study a new phase space for impulsive system with infinite delay.
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