| 二阶Volterra型积分微分差分方程的非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非线性边值问题的奇摄动[J].纺织高校基础科学学报,2008,21(3):313-316. |
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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,应用数学系,辽宁,大连,116028 |
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| 摘 要： | 利用微分不等式理论研究了二阶Volterra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 nonlinear boundary problem of second order Volterra type integro-differential-difference equation |
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| WANG Guo-can.Singularly perturbed nonlinear boundary problem of second order Volterra type integro-differential-difference equation[J].Basic Sciences Journal of Textile Universities,2008,21(3):313-316. |
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| Authors: | WANG Guo-can |
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| Affiliation: | WANG Guo-can (Dept. of Applied Math. ,Dalian Jiaotong University, Dalian, Liaoning 116028, China) |
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| Abstract: | The existence and asymptotic estimates of solution for nonlinear boundary value problem of Volterra type integro-differential-difference equation by means of differential inequality theories is studied.Specific upper and lower solutions were constructed,the existence and asymptotic estimates of solution was obtained.The result shows that is a new idea to apply these techniques to solving 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 asymptotic estimates |
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