Existence of Semi Linear Impulsive Neutral Evolution Inclusions with Infinite Delay in Frechet Spaces

被引：2

作者：

Chalishajar, Dimplekumar N. ^{[1
]}

Karthikeyan, Kulandhivel ^{[2
]}

Anguraj, Annamalai ^{[3
]}

机构：

[1] Virginia Mil Inst, Dept Appl Math, 431 Mallory Hall, Lexington, VA 24450 USA

[2] KSR Coll Technol, Dept Math, Tiruchengode 637215, India

[3] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, Tamil Nadu, India

来源：

MATHEMATICS | 2016年 / 4卷 / 02期

关键词：

impulsive differential inclusions; fixed point; Frechet spaces; nonlinear alternative due to Frigon; 34A37; 34G20; 47H20; FUNCTIONAL-DIFFERENTIAL EQUATIONS; EPIDEMIC MODEL; FIXED-POINT; CONTROLLABILITY; CONTRACTIONS;

D O I：

10.3390/math4020023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, sufficient conditions are given to investigate the existence of mild solutions on a semi-infinite interval for first order semi linear impulsive neutral functional differential evolution inclusions with infinite delay using a recently developed nonlinear alternative for contractive multivalued 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 introduced a new phase space for impulsive system with infinite delay and claim that the phase space considered by different authors are not correct.

引用

页数：17

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