带高阶转向点的一阶非线性奇摄动初值问题的鸭轨道Canard Orbits in First-order Nonlinear Singularly Perturbed Initial Value Problems with a Higher-order Turning Point
沈建和;
摘要(Abstract)：
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.
关键词(KeyWords)： 高阶转向点;奇摄动;一阶初值问题;鸭轨道
基金项目(Foundation): 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)
作者(Authors): 沈建和;
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