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三阶微分方程反周期边值问题（英文）

Anti-Periodic Boundary Value Problem for the Third-Order Differential Equation
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摘要 本文利用Schauder不动点定理和Leray-Schauder非线性抉择原理,研究一类三阶微分方程反周期边值问题,给出了解的存在性的一些充分条件,并通过一些例子来说明本文结果的应用. In this paper,by means of Schauder's fixed point theorem and LeraySchauder nonlinear alternative,we discuss the anti-periodic boundary value problem for a third-order differential equation.Some sufficient conditions for the existence of solutions are obtained.Some examples are presented to illustrate the application of our results.
作者 张豫川 周宗福
机构地区 安徽大学数学科学学院
出处 《生物数学学报》 2015年第1期9-16,共8页 Journal of Biomathematics
基金 Supported by NNSF(11371027)of China the Foundational of Educational Commission of Anhui Province(KJ2009A005Z)of China Anhui Provincial Natural Science Foundation(1208085MA13)
关键词 反周期边值问题 存在性 SCHAUDER不动点定理 Leray-Schauder非线性抉择原理 Anti-periodic boundary value problem Schauder's fixed point theorem Leray-Schauder nonlinear alternative
分类号 O175.8 [理学—基础数学]
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参考文献17

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生物数学学报
2015年 第1期

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