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Existence of Periodic Solutions About One Class Differential Equation
引用本文:李林. Existence of Periodic Solutions About One Class Differential Equation[J]. 数学季刊, 1992, 7(4): 20-25
作者姓名:李林
作者单位:Beijing Petrochemical
摘    要:We discuss the existence and the number of periodic solutions of differential equation dx/dt=A1(t)x A2(t)x^2 A3(t)x^3/α0(t) α1(t)x α2(t)x^2 (1)where Ai(t),αj(t)(i=1,2,3;j=0,1,2) are continuous periodic functions.The results of this paper ex-tend the work of paper[1].

关 键 词:周期解  存在性  常微分方程  带域

Existence of Periodic Solutions About One Class Differential Equation
Li Lin. Existence of Periodic Solutions About One Class Differential Equation[J]. Chinese Quarterly Journal of Mathematics, 1992, 7(4): 20-25
Authors:Li Lin
Affiliation:BeijingPetrochemicalEngineeringInstitute,102600
Abstract:We discuss the existence and the number of periodic solutions of differential equation dx/dt=A_1(t)x+A_2(t)x~2+A_3(t)x~3/a_0(t)+a_1(t)x+a_2(t)x~2 (1) where A_i(t), a_j(t) (i=1,2,3;j=0,1,2) are continuous periodic functions. The results of this paper extend the work of paper [1].
Keywords:periodic solution  strip domain  stability  transformation
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