二阶Volterra型积分微分方程Robin边值问题的一致有效估计  

Uniformly Valid Estimation of Solution for Nonlinearoundary Problem of Volterra type Integrodifferential Equation

作　　者：唐永春[1] 王国灿[2] 

机构地区：[1]大连轻工学院职业技术学院,辽宁大连116000 [2]大连铁道学院文理分院,辽宁大连116028

出　　处：《大连铁道学院学报》2004年第2期1-4,共4页Journal of Dalian Railway Institute

摘　　要：利用微分不等式方法研究了二阶Volterra型积分微分方程Robin边值问题解的存在性和一致有效估计.在适当条件下,构造具体的上下解,得到了解的存在性.结果表明这种技巧为奇摄动边值问题的存在性研究提出了新的思路.The existence and uniformly estimation of solution for nonlinear boundary value problem of Volterra type equation is studied by using differential inequality method. Specific upper and lower solutions were constructed, the existence of solution was obtained. The result shows that is seems to be new to apply these techniques to solving the existence of singularly perturbed boundary problem.

关 键 词：VOLTERRA型积分微分方程 一致有效估计 存在性 Robin边值 

分 类 号：O175.8[理学—数学]