一类非线性积-微分方程极值解的存在性定理

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Existence Theorems of Extremal Solutions for a Class of Nonlinear lntegro-Differential Equations

摘要: 本文讨论非线性积-微分方程初值问题的极值解的存在性。其中利用单调迭代法和上、下解方法,得到了最小解和最大解的存在性定理。
- 积-微分方程 /
- 单调迭代方法 /
- 极值解
Abstract: In this paper, the following initial value problem for nonlinear integro-differential equationis is considered, where Using the method of upper and lower solutions and the monotone iterative technique.We obtain existence results of minimal and maximal solutions.
- integro-differential equation /
- monotone iterative technique /
- extremal solution

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[5]	R. Kress, Linear Integral Equations, Springer-Verlag, Berlin Heidelberg(1989).

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