| 紧型条件下四阶两点边值问题解的存在性 |
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| 引用本文： | 张栋.紧型条件下四阶两点边值问题解的存在性[J].沧州师专学报,2012(1):19-22. |
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| 作者姓名： | 张栋 |
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| 作者单位： | 沧州师范学院数学系,河北沧州061001 |
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| 摘 要： | 通过对线性方程算子谱半径的论证及算子非紧性测度的讨论,利用凝聚场的拓扑度及不动点定理讨论了Banach空间四阶常微分方程边值问题解的存在性.
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| 关 键 词： | 边值问题 非紧性测度 凝聚场拓扑度 凝聚映射不动点定理 特征值 |
Existence of Solutions of Boundary Value Problems for Forth Order Ordinary Differential Equations under Compactness Condition |
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| ZHANG Dong.Existence of Solutions of Boundary Value Problems for Forth Order Ordinary Differential Equations under Compactness Condition[J].Journal of Cangzhou Teachers‘College,2012(1):19-22. |
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| Authors: | ZHANG Dong |
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| Institution: | ZHANG Dong(Department of Mathematics,Cangzhou Normal University,Cangzhou,Hebei 061001,China) |
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| Abstract: | Based on the fixed-point theorem and topological degree of condensing mapping,the existence and uniqueness of the solutions for boundary value problems of forth order differential equation in Banach space is proved precisely to calculate the spectral radius of linear operation and the measure of noncampactness. |
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| Keywords: | boundary value problems measure of noncompactness topological degree of condensing mapping fixed point theorem of condensing mapping eigenvalue |
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