Existence of mild solutions to partial neutral differential equations with non-instantaneous impulses

R. Poongodi; V. T. Suveetha; S. Dhanalakshmi

doi:10.26637/MJM0701/0006

Abstract

In this article, we study the existence of PC -mild solutions for the initial value problems for a class of semilinear neutral equations. These equations have non-instantaneous impulses in Banach space and the corresponding solution semigroup is noncompact. We assume that the nonlinear terms satisfies certain local growth condition and a noncompactness measure condition. Also we assume the non-instantaneous impulsive functions satisfy some Lipschitz conditions.

Keywords:

Mild solutions, Non-instantaneous impulse, Noncompactness, Neutral systems

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

R. Poongodi Research Scholar, Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, India.
V. T. Suveetha Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, India.
S. Dhanalakshmi Department of Mathematics, Kongunadu Arts and Science College, Coimbatore, Tamil Nadu, India.

Pages: 27-33
Date Published: 01-01-2019
Vol. 7 No. 01 (2019): Malaya Journal of Matematik (MJM)

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