数学物理学报 ›› 2014, Vol. 34 ›› Issue (1): 139-149.

• 论文 • 上一篇    下一篇

时滞依赖状态的非自治多值偏积分微分方程

李文胜   

  1. 西安航空学院 |基础课部 西安 710077
  • 收稿日期:2012-03-08 修回日期:2013-04-03 出版日期:2014-02-25 发布日期:2014-02-25
  • 基金资助:

    国家自然科学基金(11161027).

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).

摘要:

利用预解算子理论结合Leray-Schauder型多值映射不动点定理, 在公理化定义的相空间上, 得到了一类时滞依赖状态的非自治多值一阶偏积分微分方程适度解的存在性.

关键词: 多值偏积分微分方程, 预解算子, 时滞依赖状态

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

中图分类号: 

  • 34A60