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Solvability for Impulsive Neutral Integro-Differential Equations with State-Dependent Delay via Fractional Operators.
- Source :
-
Journal of Optimization Theory & Applications . Mar2010, Vol. 144 Issue 3, p445-459. 15p. - Publication Year :
- 2010
-
Abstract
- This paper is mainly concerned with the existence of mild solutions for a first-order impulsive neutral integro-differential equation with state-dependent delay. We assume that the undelayed part generates an analytic resolvent operator and transforms it into an integral equation. By using a fixed-point theorem for condensing maps combined with theories of analytic resolvent operators, we prove some existence theorems. As an application of these main theorems, some practical consequences are derived. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 144
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 47924351
- Full Text :
- https://doi.org/10.1007/s10957-009-9612-6