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二阶Hammerstein型积分微分差分方程的两点边值问题
Two-Point Boundary Value Problems of Second Order Hammerstein Type Integro-Differential-Difference Equation
【摘要】 利用微分不等式技巧研究了某一类二阶Hammerstein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.
【Abstract】 Two-point boundary value problems of second order Hammerstein type integro-differential-difference equation is studied by means of differential inequality theories.Based on suit condition,the existence and uniquness of solutions are established.The result shows that it seems new to apply these techniques to solve other boundary value problems.
【关键词】 积分微分差分方程;
两点边值问题;
微分不等式;
【Key words】 integro-differential-difference equation; two-point boundary value problem; differential inequality;
【Key words】 integro-differential-difference equation; two-point boundary value problem; differential inequality;
- 【文献出处】 大连交通大学学报 ,Journal of Dalian Jiaotong University , 编辑部邮箱 ,2008年01期
- 【分类号】O175.7
- 【被引频次】2
- 【下载频次】45