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| 二阶混合型积分微分差分方程的两点边值问题的存在性与唯一性 | |
| 引用本文： | 王国灿. 二阶混合型积分微分差分方程的两点边值问题的存在性与唯一性[J]. 大连交通大学学报, 2007, 28(4): 5-9 |
| 作者姓名： | 王国灿 |
| 作者单位： | 大连交通大学,数理系,辽宁,大连,116028 |
| 摘 要： | 利用微分不等式技巧研究了某一类二阶混合型积分微分差分方程的两点边值问题,在上下解存在的条件下,得到了解的存在性和唯一性定理.结果表明:这种技巧为其它边值问题的研究提出了崭新的思路. |
| 关 键 词： | 积分微分差分方程 两点边值问题 微分不等式 |
| 文章编号： | 1673-9590（2007）04-0005-05 |
| 收稿时间： | 2007-03-02 |
| 修稿时间： | 2007-03-02 |
Existence and Uniqueness of Solutions for Two-Point Boundary Value Problems of Second Order Integro-Differential-Difference Equation |
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| WANG Guo-can. Existence and Uniqueness of Solutions for Two-Point Boundary Value Problems of Second Order Integro-Differential-Difference Equation[J]. Journal of Dalian Jiaotong University, 2007, 28(4): 5-9 | |
| Authors: | WANG Guo-can |
| Abstract: | Two-point boundary value problems of second order mixed type integro-differential- difference equation is studied by means of differential inequality theories. Based on suit condi- tion ,the existence and uniqueness of the solutions are established. The result shows that the technique provides a new way to solve other boundary value problems. |
| Keywords: | integro-differential-difference equation two-point boundary value problem differential inequality |
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