关于具有转向点的一类常微分方程的边值问题 |
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引用本文: | 江福汝.关于具有转向点的一类常微分方程的边值问题[J].应用数学和力学,1980,1(2):201-213. |
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作者姓名: | 江福汝 |
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作者单位: | 上海复旦大学 |
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摘 要: | 本文应用多重尺度法研究具有转向点的一类常微分方程的边值问题.避免了1]中出现的悖理,以及2]中关于确定任意常数的变分运算;构造出边值问题的解的一致有效渐近近似式.并研究了非共振的情形.
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收稿时间: | 1979-12-28 |
On the Boundary Value Problems for a Class of Ordinary Differential Equations with Turning Points |
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Institution: | Fudan University, Shanghai |
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Abstract: | In this paper we study the boundary value problems for a class of ordinary differential equations with turning points by the method of multiple scales.The paradox in1] and the variational approach in 2] are avoided,The uniformly valid asymptotic approximations of solutions have been constructed.We also study the case which does not exhibit resonance. |
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