| 具有无限时滞的抽象泛函微分方程解的存在性 |
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| 引用本文： | 洪世煌. 具有无限时滞的抽象泛函微分方程解的存在性[J]. 华中科技大学学报(自然科学版), 1994, 0(Z1) |
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| 作者姓名： | 洪世煌 |
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| 作者单位： | 华中理工大学数学系 |
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| 摘 要： | 研究了Ｂａｎａｃｈ空间中形如的无限时滞泛函微分方程，给出了方程可解的某些充分条件，推广了现有文献中的某些结果。
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| 关 键 词： | 抽象泛函微分方程；相空间；非紧性测度 |
Existence of Solutions for Functional Differential Equations with Infinite Delay |
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| Hong Shihuang. Existence of Solutions for Functional Differential Equations with Infinite Delay[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1994, 0(Z1) |
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| Authors: | Hong Shihuang |
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| Affiliation: | Hong Shihuang |
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| Abstract: | Functional differential equations with infinite ddiay in Banach space are investigated.Arelevant set of phase space axioms is proposed.The main tools used in the investigation arethe measure of noncompactness and certain fixed point theorems based on the Leray-Schaud-er degree theory.Some results concerning the existence for solutions of the equations investi-gated have been obtained.These results imply the main theorems obtained by T-S Shin. |
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| Keywords: | abstract functional differential equation phase space measure of noncompact-ness |
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