Solvability for Impulsive Neutral Integro-Differential Equations with State-Dependent Delay via Fractional Operators

Y. K. Chang () and W. S. Li ()
Additional contact information
Y. K. Chang: Lanzhou Jiaotong University
W. S. Li: Lanzhou Jiaotong University

Journal of Optimization Theory and Applications, 2010, vol. 144, issue 3, No 2, 445-459

Abstract: 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.

Keywords: Impulsive differential equations; Neutral integro-differential equations; State-dependent delays; Analytic resolvents (search for similar items in EconPapers)
Date: 2010
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-009-9612-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:144:y:2010:i:3:d:10.1007_s10957-009-9612-6

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-009-9612-6

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().