Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (1): 139-149.

• Articles • Previous Articles     Next Articles

On Non-autonomous Multivalued Partial Integro-Differential Equations with State-Dependent Delay

 LI Wen-Sheng   

  1. Department of Basic Courses, Xi'an Aeronautical University, Xi'an 710077
  • Received:2012-03-08 Revised:2013-04-03 Online:2014-02-25 Published:2014-02-25
  • Supported by:

    国家自然科学基金(11161027).

Abstract:

This paper is mainly concerned with the existence of mild solutions for a first order non-autonomous multivalued partial
integro-differential equations with state-dependent delay. The results are obtained by using theories of resolvent operators combined with the fixed point theorem for nonlinear alternatives of Leray-Schauder type for multivalued version. Finally, we present an example to illustrate the main theorem.

Key words: Multivalued partial integro-differential equations, Resolvent operator, State-dependent delay

CLC Number: 

  • 34A60
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