数学物理学报 ›› 1998, Vol. 18 ›› Issue (2): 200-205.
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夏红强
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Xia Hongqiang
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摘要： 该文证明了非线性微分方程组在对应的齐次方程具有指数型二分性、非线性部分满足适当的条件下存在稳定流形和不稳定流形;并且对所得的结果给出一个应用.
关键词: 指数二分性, 稳定流形, Hill方程
Abstract: In this paper,the author proved that the nonlinear differential equation system exists stable and unstable manifolds if their associated homogenous equations satisfies exponential dichotomy and nonlinear part satisfies certain conditions; then he gave an applications on perturbed Hill equation.
Key words: Exponential dichotomy, Stable manifold, Hill equation
夏红强. 指数型二分性与不变流形[J]. 数学物理学报, 1998, 18(2): 200-205.
Xia Hongqiang. Exponential dichotomy and invariant manifold[J]. Acta mathematica scientia,Series A, 1998, 18(2): 200-205.
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