| 线性算子双半群及在间断和脉冲微分方程中的应用(英) |
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| 引用本文： | 许根起,冯德兴.线性算子双半群及在间断和脉冲微分方程中的应用(英)[J].应用泛函分析学报,1999(1). |
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| 作者姓名： | 许根起 冯德兴 |
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| 作者单位： | 中国科学院系统科学研究所系统与控制实验室!北京100080 |
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| 摘 要： | 研究抽象Ｂａｎａｃｈ空间中线性微微分方程的可解性，利用算子双半群方法，讨论了在确定时间跳跃或脉冲的线性微分方程解的存在性，表明在一定条件下间断或脉冲方程的解存在唯一．
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| 关 键 词： | 线性算子 双半群 间断微分方程 脉冲微分方程 可解性 |
Bisemigroups of Linear Operators with Applications to Jumping and Impulsive Differential Equations |
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| XU Gen-qi,FENG De-xing.Bisemigroups of Linear Operators with Applications to Jumping and Impulsive Differential Equations[J].Acta Analysis Functionalis Applicata,1999(1). |
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| Authors: | XU Gen-qi FENG De-xing |
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| Abstract: | In this paper we study the solvability of abstract linear differential equations in Banach spaces. In terms of bisemigroups, we discuss the existence of solution of abstract linear jumping differential equation and impulsive differential equations at fixed times, and give conditions under which the jumping equation and impulsive equation are uniquely solvable. |
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| Keywords: | linear operator bisemigroup jumping differential equation impulsive differential equation solvability |
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