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Existence of mild solutions to partial differential equations with non-instantaneous impulses
- Source :
- Electronic Journal of Differential Equations, Vol 2016, Iss 241,, Pp 1-11 (2016)
- Publication Year :
- 2016
- Publisher :
- Texas State University, 2016.
-
Abstract
- In this article, we study the existence of piecewise-continuous mild solutions for the initial value problems for a class of semilinear evolution equations. These equations have non-instantaneous impulses in Banach spaces and the corresponding solution semigroup is noncompact. We assume that the nonlinear term satisfies certain local growth condition and a noncompactness measure condition. Also we assume the non-instantaneous impulsive functions satisfy some Lipschitz conditions. An example is given to illustrate our results.
Details
- Language :
- English
- ISSN :
- 10726691
- Volume :
- 2016
- Issue :
- 241,
- Database :
- Directory of Open Access Journals
- Journal :
- Electronic Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.6a7b313b212640ff923ae635298d0742
- Document Type :
- article