| 三阶非线性微分差分方程两点边值问题的奇摄动 |
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| 引用本文： | 王国灿,王飞. 三阶非线性微分差分方程两点边值问题的奇摄动[J]. 大连铁道学院学报, 2012, 0(1): 94-96 |
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| 作者姓名： | 王国灿 王飞 |
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| 作者单位： | 大连交通大学理学院,辽宁大连116028 |
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| 摘 要： | 利用微分不等式技巧，研究了一类三阶非线性微分差分方程的两点边值问题的奇摄动．在上下解存在的条件下，建立了解的存在性与唯一性．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： | 三阶微分方程 两点边值问题 微分不等式 |
Singular Perturbation for Two-Point Boundary Value Problems of Third Order Nonlinear Differential-Difference Equation |
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| WANG Guo-can,WANG Fei. Singular Perturbation for Two-Point Boundary Value Problems of Third Order Nonlinear Differential-Difference Equation[J]. Journal of Dalian Railway Institute, 2012, 0(1): 94-96 |
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| Authors: | WANG Guo-can WANG Fei |
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| Affiliation: | ( School of Mathematics and Physics, Dalian Jiaotong University, Dalian 116028, China) |
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| Abstract: | In this paper, singular perturbation for a class of Two-Point boundary value problems of third order nonlinear differential-difference equation was studied by means of differential inequality theories. Based on suit condition, the existence and unique of solutions was established. The result showed that is seems new to apply these technique to solving other boundary value problems. |
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| Keywords: | third order diiterential-ditterence equation two-point boundary value problem ditterential inequality |
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