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Banach空间非线性混合型微分-积分方程周期边值问题的极值解(英文)
Extremal Solutions of Periodic Boundary Value Problems for Nonlinear Integro-differential Equations of Mixed Type in Banach Spaces
【摘要】 本文通过建立 Banach空间非线性混合型微分 -积分方程周期边值问题新的比较定理 ,来研究其最小解和最大解的存在性以及解的迭代逼近
【Abstract】 In this paper, by establishing a new comp ar ison result, the minimal and maximal solutions and iterative approximation of so lutions of the periodic boundary value problems for nonlinear integro-different ial equations of mixed type in Banach spaces are investigated.
【关键词】 混合型微分-积分方程;
周期边值问题;
单调迭代方法;
锥理论;
【Key words】 Integro-differential equations of mixed type; Periodic boundary value problem; Monotone iterative technique; Cone theory;
【Key words】 Integro-differential equations of mixed type; Periodic boundary value problem; Monotone iterative technique; Cone theory;
【基金】 Project supported by National Natural Science Foundation of China(198710 48) ;Natural ScienceFoundation of Shandong Province of China(Y98A0 90 12 )
- 【文献出处】 应用数学 ,Mathematica Applicata , 编辑部邮箱 ,2001年03期
- 【分类号】O175.15;O175.6
- 【被引频次】2
- 【下载频次】45