| 一类非线性三阶方程的奇摄动三点边值问题 |
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| 引用本文： | 李钱芳,姚静荪,陈婷.一类非线性三阶方程的奇摄动三点边值问题[J].安徽师范大学学报(自然科学版),2010,33(4):326-331. |
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| 作者姓名： | 李钱芳 姚静荪 陈婷 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241000;安徽师范大学,数学计算机科学学院,安徽,芜湖,241000;安徽师范大学,数学计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | Natural Science Foundation of Anhui Province of China |
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| 摘 要： | 在适当的条件下,利用微分不等式理论和边界层校正法,我们证明了一类非线性三阶方程的奇摄动三点边值问题的解的存在性,并得到了解的一致有效渐近展开式.
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| 关 键 词： | 奇摄动 三点边值问题 上下解 |
Singularly Perturbation for Three Points Boundary Value Problem of Nonlinear Third Order Equation |
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| LI Qian-fang,YAO Jing-sun,CHEN Ting.Singularly Perturbation for Three Points Boundary Value Problem of Nonlinear Third Order Equation[J].Journal of Anhui Normal University(Natural Science Edition),2010,33(4):326-331. |
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| Authors: | LI Qian-fang YAO Jing-sun CHEN Ting |
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| Abstract: | The singularly perturbation for there points boundary value problem of nonlinear third order equation is studied in this paper by means of differential inequality theories and the method of boundary layer correction.Under suitable assumptions,the author constructs specific upper and lower solutions,proves the existence of the solutions,and obtains the uniformly valid asymptotic expansion of the solutions. |
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| Keywords: | singularly perturbation three points boundary value problem upper and lower solutions |
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