| 带高阶转向点的一阶非线性奇摄动初值问题的鸭轨道 |
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| 引用本文： | 沈建和.带高阶转向点的一阶非线性奇摄动初值问题的鸭轨道[J].福建师范大学学报(自然科学版),2012,28(2):21-26. |
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| 作者姓名： | 沈建和 |
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| 作者单位： | 上海师范大学数学系,上海200234;福建师范大学数学与计算机科学学院,福建福州350108 |
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| 基金项目： | 国家自然科学基金资助项目(11102041);中国博士后基金资助项目(2011M500803);福建省教育厅资助项目(JA10065) |
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| 摘 要： | 基于一阶初值问题的微分不等式,通过构造所需动力学性质的上下解函数,研究带高阶转向点的一阶非线性奇摄动初值问题鸭轨道的存在性.通过一个典型例子,验证了理论结果的正确性;同时数值积分也证实了该理论结果.
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| 关 键 词： | 高阶转向点 奇摄动 一阶初值问题 鸭轨道 |
Canard Orbits in First-order Nonlinear Singularly Perturbed Initial Value Problems with a Higher-order Turning Point |
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| SHEN Jian-he.Canard Orbits in First-order Nonlinear Singularly Perturbed Initial Value Problems with a Higher-order Turning Point[J].Journal of Fujian Teachers University(Natural Science),2012,28(2):21-26. |
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| Authors: | SHEN Jian-he |
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| Institution: | SHEN Jian-he1,2(1.Department of Mathematics,Shanghai Normal University,Shanghai 200234,China;2.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350108,China) |
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| Abstract: | Based on the differential inequalities of first-order initial value problems,by constructing the upper and lower solutions with desired dynamics,deals with the existence of canard orbits in first-order nonlinear singularly perturbed initial value problems with a higher-order turning point.A typical example is performed to verify the correctness of the theoretical results.Numerical integrations also demonstrate the theoretical results. |
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| Keywords: | higher-order turning point singular perturbation first-order initial value problem canard solution |
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