| 一类非线性方程Robin问题的激波位置 |
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| 引用本文： | 周倩,陈松林.一类非线性方程Robin问题的激波位置[J].安徽工业大学学报,2012(4):375-380. |
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| 作者姓名： | 周倩 陈松林 |
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| 作者单位： | 安徽工业大学数理学院;河海大学文天学院基础部 |
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| 基金项目： | 科技部创新方法专项资助(2009IM010400) |
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| 摘 要： | 讨论一类非线性奇摄动Robin边值问题的边界条件与激波位置的关系，利用匹配法得出了激波解存在的条件，通过微分不等式方法证明解的存在性，并给出一致有效的估计式。
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| 关 键 词： | 非线性方程 激波位置 匹配法 激波解 微分不等式 |
Shock Position for a Class of Robin Problems of Nonlinear Equation |
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| ZHOU Qian,CHEN Song-lin.Shock Position for a Class of Robin Problems of Nonlinear Equation[J].Journal of Anhui University of Technology,2012(4):375-380. |
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| Authors: | ZHOU Qian CHEN Song-lin |
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| Affiliation: | 1(1.School of Mathematics & Physics,Anhui University of Technology,Ma’anshan 243032,China;2.Hehai University Wentian College,Ma’anshan 243031,China) |
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| Abstract: | The relation between the boundary conditions and its shock positions for the nonlinear singularly perturbed equation under the Robin condition are discussed.According to the matching condition,the existence conditions of the shock solutions for equations are obtained.With the differential inequality method,the existence of solution is proved,the estimation for remainder is given. |
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| Keywords: | nonlinear equation shock position matching method shock solution differential inequality |
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