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In this paper, the exponential asgmptotic solution (E.A.S.) of differential equation is discussed. Firstly, E.A.S. of the second-order differential equation is studied and the orthogonal conditions of the uniformly valid E.A.S. are found out. Next, E.A.S. in matched asymptotic method is discussed. Finally, some examples are given. 相似文献
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本文考虑弱吸引条件下的Sil'nikov现象,证明了相应的Poincare映射具有马蹄构造,并且,伴随着广义Hopf分支,将产生新的同宿轨道、异宿轨道以及更复杂的混沌现象. 相似文献
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In this paper, the exponential asymptotic solution (E.A.S.) of differential equation is discussed. Firstly, E.A.S. of the second-order differential equation is studied and the orthogonal conditions of the uniformly valid E.A.S. are found out. Next, E.A.S. in matched asymptotic method is discussed. Finally, some examples are given. 相似文献
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徐钧涛 《应用数学和力学(英文版)》1988,(7)
In this paper, the method of two-variables expansion is used to construct boundary layer terms of asymptotic solution of the boundary-value problem for a second-order DDE. The n-order formal asymptotic solution is obtained and the error is estimated. Thus the existence of uniformly valid asymptotic solution is proved. 相似文献
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本文利用两变量展开直接构造边界层项的方法,讨论了一类二阶微分差分方程边值问题的奇摄动解,构造了形式渐近解,作出了余项估计,从而证明了解的存在性. 相似文献
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本文对常微分方程的指数形式渐近解作了进一步讨论,首先给出了二阶方程一致有效指数形式渐近解的正交条件;接着讨论了匹配渐近法中的指数形式渐近解;最后举例说明。 相似文献
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徐钧涛 《数学物理学报(A辑)》1988,(4)
本文利用逐步求解和构造边界层校正项的方法,讨论了一类二阶非线性微分差分方程边值问题的奇摄动解,构造了形式渐近解。并用微分不等式理论作出了余项估计,从而证明了一致有效渐近解的存在性。 相似文献
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徐钧涛 《应用数学和力学(英文版)》1988,9(7):681-692
In this paper, the method of two-variables expansion is used to construct boundary layer terms of asymptotic solution of the
boundary-value problem for a second-order DDE. The n-order formal asymptotic solution is obtained and the error is estimated.
Thus the existence of uniformly valid asymptotic solution is proved. 相似文献
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