| 时滞依赖状态的非自治多值偏积分微分方程 |
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| 引用本文： | 李文胜.时滞依赖状态的非自治多值偏积分微分方程[J].数学物理学报(A辑),2014,34(1):139-149. |
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| 作者姓名： | 李文胜 |
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| 作者单位： | 西安航空学院 |基础课部 西安 710077 |
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| 基金项目： | 国家自然科学基金(11161027). |
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| 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.
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| 关 键 词： | 多值偏积分微分方程 预解算子 时滞依赖状态. |
| 收稿时间： | 2012-03-08 |
| 修稿时间： | 2013-04-03 |
On Non-autonomous Multivalued Partial Integro-Differential Equations with State-Dependent Delay |
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| LI Wen-Sheng.On Non-autonomous Multivalued Partial Integro-Differential Equations with State-Dependent Delay[J].Acta Mathematica Scientia,2014,34(1):139-149. |
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| Authors: | LI Wen-Sheng |
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| Institution: | Department of Basic Courses, Xi'an Aeronautical University, Xi'an 710077 |
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| 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. |
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| Keywords: | Multivalued partial integro-differential equationszz Resolvent operatorzz State-dependent delayzz |
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