| 三阶非线性方程三点线性边值问题的奇摄动 |
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| 引用本文： | 刘勇,王国灿. 三阶非线性方程三点线性边值问题的奇摄动[J]. 辽宁师范大学学报(自然科学版), 2009, 32(3): 292-295 |
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| 作者姓名： | 刘勇 王国灿 |
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| 作者单位： | 大连交通大学,数理系,辽宁,大连,116028 |
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| 摘 要： | 讨论了三阶非线性微分方程三点线性边值问题的奇摄动．利用积分算子和微分不等式技巧，得到了解的存在性、唯一性与渐近估计．结果表明，这种技巧为其它三阶边值问题的研究提出了一种新的思路．
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| 关 键 词： | 三阶非线性方程 三点线性边值问题 微分不等式 奇摄动 |
Singular perturbation for three-point boundary value problem for third-order nonlinear equation |
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| LIU Yong,WANG Guo-can. Singular perturbation for three-point boundary value problem for third-order nonlinear equation[J]. Journal of Liaoning Normal University(Natural Science Edition), 2009, 32(3): 292-295 |
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| Authors: | LIU Yong WANG Guo-can |
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| Affiliation: | (School of Mathematics and Physics, Dalian Jiaotong University,Dalian 116028, China) |
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| Abstract: | In this paper, we study singular perturbation of three-point boundary value problem for third order nonlinear equation, by making use of Volterra type integral operator and differential inequality techniques, existence and uniqueness and asymptotic estimation of solutions are obtained. The use of these techniques to study of these kinds of third-order boundary value problems is a new thinking. |
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| Keywords: | third order differential equation three-point boundary value problem differential inequality singular perturbation. |
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