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二阶积分微分差分方程的Robin边值问题的存在性与唯一性
Existence and Uniqueness of Robin Boundary Value Problems of Second Integro-Differential-Difference Equation
【摘要】 利用微分不等式技巧研究了某一类二阶积分微分差分方程的Rob in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.
【Abstract】 In this paper,Robin boundary value problems of second order integro-differential-difference equation are studied by means of differential inequality theories.Based on suit condition,the existence and uniqueness of the solutions are established.The result shows that it is a novel way to apply these techniques to solve other boundary value problems.
【关键词】 积分微分差分方程;
Robin边值问题;
微分不等式;
【Key words】 integro-differential-difference equation; Robin boundary value problem; differential inequality;
【Key words】 integro-differential-difference equation; Robin boundary value problem; differential inequality;
- 【文献出处】 大连铁道学院学报 ,Journal of Dalian Railway Institute , 编辑部邮箱 ,2006年03期
- 【分类号】O175.7
- 【被引频次】7
- 【下载频次】46