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author:

林振声 (林振声.) [1]

Abstract:

在这篇文章,我们对拟周期系统dx/dt=A(ω_1t,ω_2t.…,ω_mt)x (0.1)建立了Floquet理论.其中n×n方阵A(u_1,u_2,…,u_m)是u_1,u_2,…,u_m以2π为周期的周期方阵,同时假定A(u_1,u_2,…,u_m)∈C~(τ),τ=(N+1)τ_0,τ_0=2(m+1),N=1/2n(n+1).我们定义了(0.1)的特征指数根β_1,β_2,…,β_n,假设下式成立:(一)|sum from u=1 to m k_μω_μ|≥K(ω)(sum from μ=1 to m|k_μ|)~[-(1+m)](二)|sum form μ=1 to m ik_μω...

Keyword:

Floquet 不定积分 拟周期函数 拟周期系统 拟周期线性系统 特征指数

Community:

  • [ 1 ] 福州大学数学系

Reprint 's Address:

  • 林振声

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Source :

应用数学和力学

ISSN: 1000-0887

CN: 50-1060/O3

Year: 1982

Issue: 03

Page: 327-344

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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