| 二阶Volterra型积分微分差分方程的线性边值问题的奇摄动 |
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| 引用本文： | 王国灿. 二阶Volterra型积分微分差分方程的线性边值问题的奇摄动[J]. 大连铁道学院学报, 2009, 0(1): 85-87 |
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| 作者姓名： | 王国灿 |
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| 作者单位： | 大连交通大学数理学院; |
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| 摘 要： | 利用微分不等式理论研究了二阶Voherra型积分微分差分方程非线性边值问题的解的存在性。在适当条件下，构造具体的上下解，得到了解的存在性、唯一性和渐近估计。结果表明这种技巧为奇摄动边值问题的研究提出了新的思路。
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| 关 键 词： | Volterra型积分微分差分方程 存在性 上下解 渐近估计 |
Singularly Perturbed Linear Boundary Problem of Second Order Volterra Type Integro-Differential-Difference Equation |
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| WANG Guo-can. Singularly Perturbed Linear Boundary Problem of Second Order Volterra Type Integro-Differential-Difference Equation[J]. Journal of Dalian Railway Institute, 2009, 0(1): 85-87 |
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| Authors: | WANG Guo-can |
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| Affiliation: | WANG Guo-can(School of Mathematics , Physics,Dalian Jiaotong University,Dalian 116028,China) |
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| Abstract: | The existence and uniqueness and asymptotic estimates of solution for nonlinear boundary value problem of Volterra type integro-differential-difference equation is studied by means of differential inequality theories.Specific upper and lower solutions are constructed,the existence and uniqeness and asymptotic estimates of solution are obtained.The result shows that it is a new way to apply these techniques to study the existence and asymptotic estimates of singularly perturbed boundary problem. |
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| Keywords: | Volterra type integro-differential-difference equation upper and lower solution existence and uniqueness asymptotic estimates |
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