Banach空间中二阶常微分方程初值问题解的存在唯一性

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基金项目: 海南省自然科学基金项目(19702)

Existence and Uniqueness of Solutions for Initial Value Problems of Second Order Ordinary Differential Equations in Banach Space

1.
Hainan University, Haikou 570228, P. R. China;
2.
Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

摘要: 用单调迭代方法给出了二阶常微分方程初值问题的解的存在唯一性的结果.
- 序Banach空间 /
- 非紧性测度 /
- 混合单调算子
Abstract: In this paper, the initial value problems of second order ordinary differential equations in Banach spaces are discussed. By using the monotone iterative technique, some existence and uniqueness theorems for solutions are obtained.
- ordered Banach spaces /
- measures of noncompactness /
- mixed monotone operators

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