| 二阶积分微分方程的边值问题 |
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| 引用本文： | 徐明习. 二阶积分微分方程的边值问题[J]. 山东师范大学学报(自然科学版), 1990, 5(4): 29-35 |
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| 作者姓名： | 徐明习 |
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| 作者单位： | 青岛大学 |
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| 摘 要： | 本文在Banach空间E中,讨论二阶积分微分方程的Sturm—Liouville型边值问题.利用不动点原理得到两个存在性定理,其中定理2.1是[2]中定理的推广,定理2.2将定理2.1中的紧型条件做了改进.
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| 关 键 词： | 积分微分方程 边值问题 不动点 |
BOUNDARY VALUE PROBLEMS FOR INTEGRO-DIFFERENTIAL EQUATIONS OF SECOND ORDER |
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| Xu Mingxi. BOUNDARY VALUE PROBLEMS FOR INTEGRO-DIFFERENTIAL EQUATIONS OF SECOND ORDER[J]. Journal of Shandong Normal University(Natural Science), 1990, 5(4): 29-35 |
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| Authors: | Xu Mingxi |
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| Affiliation: | Qingdao University |
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| Abstract: | In this paper,boundary value problems of sturm-Liouville type for integro-differential equations of second order in Banach space are discussed.By using fixed point principles, we obtain two existence theorems. In Theorem 2. 1 we generalize a theorem in[2]. In Theorem 2.2 we improve the noncompactness type condition in Theorem2.1. |
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| Keywords: | integro-differential equation boundary value problem fixed point measures of noncompactness |
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