Banach空间中的两点边值问题<sup>*</sup>

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Banach空间中的两点边值问题^*

基金项目: *国家自然科学基金

摘要: 本文在可分Banach空间中研究带线性分离边值条件的二阶微分包含,在较弱的条件下证明了解的存在性,由此可以得到二阶微分方程的边值问题若干解的存在性定理的推广形式.
- 边值问题 /
- 微分包含 /
- 非紧性测度 /
- 不动点
Abstract: The present paper is concerned with botmdary value problem.for differential inclusions of second order in separable Banach spaces,an existence resuh is proved under weaker conditions and some existence theorems.for nonlinear second order systems can be deduced.form this paper's theorems.
- boundary value problems /
- differential inclusions /
- measure of noncompactness /
- fixed-point

[1]	J.Chandra.V.Lakshmikantham and S.Mitchell,Existence of solutions of boundary value problems for nonlinear second order systems in a Banach space.Nonlinear Analysis TMA,2(1978).157-168.
[2]	H.Monch.Boundary value problems for nonlinear differential equations of second order in Banch spaces,Nonlinear Analysis TMA,4(1980),985-999.
[3]	J.P.Aubin and I.V.Ekeland,Applied Nonlinear Analysis,New York,Wiley-Interscience(1984).
[4]	陈文塬,《非线性泛函分析》,甘肃人民出版社,兰州(1982).
[5]	郭大钧、孙经先.《抽象空间常微分方程》,山东科学技术出版社(1988).

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