| 一类非线性积－微分方程极值解的存在性定理 |
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| 引用本文： | 宋光兴. 一类非线性积－微分方程极值解的存在性定理[J]. 应用数学和力学, 1996, 0(11) |
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| 作者姓名： | 宋光兴 |
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| 作者单位： | 石油大学数理系 |
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| 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．
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| 关 键 词： | 积－微分方程，单调迭代方法，极值解 |
Existence Theorems of Extremal Solutions for a Class of Nonlinear lntegro-Differential Equations |
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| Song Guangxing. Existence Theorems of Extremal Solutions for a Class of Nonlinear lntegro-Differential Equations[J]. Applied Mathematics and Mechanics, 1996, 0(11) |
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| Authors: | Song Guangxing |
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| Abstract: | In this paper, the following initial value problem for nonlinear integro-differential equationu'(t) =f(t, u(t),T1u(t), T,u(t) ) 1u(t)0=XO Iis considred, wbers Using the method of upper and lower solutions and the monotone iteratiye technique, we obtain existence results of minimal and maximal solutions. |
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| Keywords: | integro-differential equation monotone iterative technique ' extremalsolution |
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