On Monotone Iterative Method for Initial Value Problems of Nonlinear Second Order Integrodifferential Equations in Banach Spaces
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摘要: 利用单调迭代方法及Mnch不动点定理,研究了Banach空间中混合单调二阶微分积分方程初值问题的耦合最小最大拟解及解的存在性,给出了耦合最小最大拟解及解的存在定理.
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关键词:
- 微分积分方程 /
- Kuratowski非紧性测度 /
- 耦合下上拟解 /
- 单调迭代方法
Abstract: Using the monot one iterative method and M? nch fixed point theorem, the existence of solutions and coupled minimal and maximal quasisolutions of initial value problems for mixed monotone second order integrodifferential equations in Banach spaces were studied. Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained. -
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