保定学院学报 关键词：泛函差分方程；上下解；非线性边值问题；单调迭代 [gap=521]ference equation; upper and lower solutions; nonlinear boundary value condition; monotone iterative
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混合单调迭代方法 Mixed monotone iterative technique
The maximal and minimal solutions of periodic boundary value problems are investigated for second order integro-dierential equations of mixed type by establishing a new comparison theorem. The using monotone iterative method and the corresponding monotone iterative sequences are given.
利用新建立的比较定理和单调迭代方法,研究了二阶混合型积-微分方程周期边值问题最大解和最小解的存在性,并给出了相应的单调迭代序列。
参考来源 - 二阶混合型积The main tools are Schauder fixed point theorem, maximum principle and monotone iteration method.
所用的主要工具是Schauder不动点定理，最大值原理以及单调迭代方法。
参考来源 - 非线性二阶常微分系统边值问题正解存在的充分必要条件·2,447,543篇论文数据，部分数据来源于NoteExpress
对于初值问题，采用上下解的单调迭代方法求解。
Upper lower solutions method and monotone iterative technique are applied to initial value problem.
方法 应用单调迭代技术结合上下解方法讨论最大解与最小解的存在性。
Methods The method of upper and lower solutions and the monotone iterative technique were used to establish our results.
利用单调迭代方法给出了中立型滞后微分方程的周期边值问题极解的存在性定理。
The monotone iterative techniques is used to investigate the existence of extremal solution of periodic boundary value problems (PBVP) for neutral delay differential equation.
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