<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach. At last, an example is also provided to illustrate the obtained results.</p></abstract>

In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach. At last, an example is also provided to illustrate the obtained results.

Existence results for an impulsive neutral integro-differential equations in Banach spaces

Department of Mathematics, Faculty of Art and Sciences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and...

Existence results for an impulsive neutral integro-differential equations in Banach spaces

Published Online: Dec 21, 2019

Page range: 231 - 257

Received: Jan 18, 2019

Accepted: Mar 15, 2019

DOI: https://doi.org/10.2478/auom-2019-0043

Keywords
Fixed point theorem, Differential equations with Impulses, Neutral equations, Semigroups of linear operators

© 2019 Venkatesh Usha et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Existence results for an impulsive neutral integro-differential equations in Banach spaces

Published Online: Dec 21, 2019

Page range: 231 - 257

Received: Jan 18, 2019

Accepted: Mar 15, 2019

DOI: https://doi.org/10.2478/auom-2019-0043

KeywordsFixed point theorem, Differential equations with Impulses, Neutral equations, Semigroups of linear operators

© 2019 Venkatesh Usha et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Fixed point theorem, Differential equations with Impulses, Neutral equations, Semigroups of linear operators