| 无限时滞抽象泛函微分方程的可解性及稳定性 |
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| 引用本文： | 梁进 肖体俊. 无限时滞抽象泛函微分方程的可解性及稳定性[J]. 四川大学学报(自然科学版), 1994, 31(1): 8-14 |
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| 作者姓名： | 梁进 肖体俊 |
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| 作者单位： | 昆明工学院，云南师范大学，四川大学数学系 |
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| 基金项目： | 国家自然科学基金及云南省应用基础研究基金 |
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| 摘 要： | 研究一类具无限时滞的泛函微分方程的可解性和稳定性。其基本结果是：在某些条件下，非线性泛函微分方程解的指数稳定性可由解的在界性及线性部分的指数稳定性推出。
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| 关 键 词： | 无限时滞 泛函微分方程 可解性 |
SOLVABILITY AND STABILITY OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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| Liang Jin Xiao Tijun. SOLVABILITY AND STABILITY OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J]. Journal of Sichuan University (Natural Science Edition), 1994, 31(1): 8-14 |
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| Authors: | Liang Jin Xiao Tijun |
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| Abstract: | by means of the techniques of Liapunov functionals, axiom phase spaces and thetheory of semigroups of bounded linear operators,we study the solvabilities and satabilities for akind of abstract functional differential equations with infinite delay in abstract phase spaces whichsatisfy some fundamental axioms. Several fundamental results are obtained. |
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| Keywords: | Functional differential equations infinite delay local Lipschitz condition C_o semigroup solvability stability. |
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