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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
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

Existence and Uniqueness of Solutions for Two-Point Boundary Value Problems of Second Order Integro-Differential-Difference Equation
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 condition,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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