Mild solutions of impulsive semilinear neutral evolution equations in Banach spaces

© 2016 International Scientific Research Publications. All rights reserved.This paper is concerned with the existence of mild solutions for impulsive semilinear neutral functional integro-differential equations in Banach spaces. The existence result is obtained by using fractional power of operators...

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Bibliographic Details
Main Authors: Hao, X., Liu, Lishan, Wu, Yong Hong
Format: Journal Article
Published: Shomal University 2016
Online Access:http://hdl.handle.net/20.500.11937/52397
Description
Summary:© 2016 International Scientific Research Publications. All rights reserved.This paper is concerned with the existence of mild solutions for impulsive semilinear neutral functional integro-differential equations in Banach spaces. The existence result is obtained by using fractional power of operators, Mönch fixed point theorem, the piecewise estimation method and semigroup theory. Applications to partial differential systems are also given.