| 二阶积-微分方程奇异边值问题解的存在性 |
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| 引用本文： | 晏锐.二阶积-微分方程奇异边值问题解的存在性[J].系统工程与电子技术,2004,26(1):115-118. |
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| 作者姓名： | 晏锐 |
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| 作者单位： | 宁夏重工业职工大学,宁夏,银川,750002 |
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| 摘 要： | 讨论了一类二阶积 微分方程两点边值问题解的存在性。该问题以四阶微分方程两点边值问题为特例。首先在不假设非线性项单调,并允许其有奇性的情况下,利用上下解方法与Schauder不动点定理,获得了二阶Fredholm型积 微分方程两点边值问题解的存在性结果,然后把该结果应用于两端简单支撑的弹性梁的平衡状态模型—四阶微分方程边值问题。
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| 关 键 词： | 积-微分方程 边值问题 上下解方法 |
| 文章编号： | 1001-506X(2004)01-0115-04 |
| 修稿时间： | 2003年1月9日 |
Existence of the solution to singular boundary value problems for second order integro-differential equations |
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| YAN Rui.Existence of the solution to singular boundary value problems for second order integro-differential equations[J].System Engineering and Electronics,2004,26(1):115-118. |
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| Authors: | YAN Rui |
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| Abstract: | The existence of the solution to the two-point boundary value problem for second order integro-differential equations is discussed in this paper, taking the two-point boundary value of fourth-order differential equation for an exemple. Firstly by means of the upper-lower solution and Schauder's fixed point theorem some existence results of two-point boundary problem solution for second order Fredholm integro-differential equations are obtained, with odd existence permitted and the assumption of nonlinear term monotuning removed. As the application result for fourth-order boundary value problem of differential equations the obtained results have been extended to their work. |
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| Keywords: | integro-differential equations boundary value problems method of lower-upper solutions |
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