| 二阶混合型积分微分差分方程非线性边值问题的存在性与唯一性 |
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| 引用本文： | 王国灿,鲁宁.二阶混合型积分微分差分方程非线性边值问题的存在性与唯一性[J].大连铁道学院学报,2011(1):110-112. |
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| 作者姓名： | 王国灿 鲁宁 |
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| 作者单位： | 大连交通大学数理系; |
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| 摘 要： | 利用微分不等式技巧研究了某一类混合型二阶积分微分差分方程非线性边值问题,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.
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| 关 键 词： | 混合型积分微分差分方程 非线性边值问题 微分不等式 |
Existence and Uniqueness of Solutions for Nonlinear Boundary Value Problems of Second Order Mixed Type Integro-Differential-Difference Equation |
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| WANG Guo-can,LU Ning.Existence and Uniqueness of Solutions for Nonlinear Boundary Value Problems of Second Order Mixed Type Integro-Differential-Difference Equation[J].Journal of Dalian Railway Institute,2011(1):110-112. |
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| Authors: | WANG Guo-can LU Ning |
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| Institution: | WANG Guo-can,LU Ning(School of Mathematics and Physics,Dalian Jiaotong University,Dalian 116028,China) |
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| Abstract: | Nonlinear boundary value problems of second order Mixed type integro-differential-difference equation are studied by means of differential inequality theories.Based on suit condition,the existence and unique of solutions are established.The result shows that it is seems new to apply these technique to solve other boundary value problems. |
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| Keywords: | mixed type integro-differential-difference equation nonlinear boundary value problem differential inequality |
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