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Banach空间非线性四阶奇异积分边值问题正解的存在性

Existence of Positive Solution for Nonlinear Fourth-order Singular Differential Equation with Integral Boundary Conditions in Banach Spaces
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摘要 通过构造一个特殊的非空凸闭集,利用Mnch不动点定理在有关相应线性算子的第一特征值的条件下,得到了Banach空间中具有积分边值条件的四阶奇异微分方程正解的存在性. By constructing a special closed convex set and using the Monch fixed-point theorem, the existence of positive solution for fourth-order nonlinear singular differential equations with integral boundary conditions in a Banach space is obtained under some conditions with respect to the first eigenvalue of a linear operator.
作者 张兴秋
机构地区 聊城大学数学科学学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2010年第2期566-575,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(10671167) 聊城大学科研启动基金(31805)资助
关键词 奇异方程 积分边值 正解 不动点定理 BANACH空间 Singular equation Integral boundary condition Positive solution Fixed point theorem Banach space
分类号 O175.8 [理学—数学]
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参考文献12

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二级参考文献14

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数学物理学报（A辑）
2010年 第2期

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