次线性条件下奇异三阶微分方程周期边值问题解的全局结构

刘衍胜

系统科学与数学 ›› 2005, Vol. 25 ›› Issue (4) : 459-465.

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系统科学与数学 ›› 2005, Vol. 25 ›› Issue (4) : 459-465. DOI: 10.12341/jssms09586
论文

次线性条件下奇异三阶微分方程周期边值问题解的全局结构

    刘衍胜
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GLOBAL STRUCTURE OF SINGULAR PERIODIC BOUNDARY VALUE PROBLEM FOR THIRD ORDER DIFFERENTIAL EQUATION UNDER SUBLINEAR CONDITION

    Liu Yansheng
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摘要

讨论三阶微分方程周期边值问题{u′′′+\r3u=\ldf(t,u),0<t<2π;u(i)(0)=u(i)(2π),i=0,1,2, 解的全局结构, 其中 \r∈(0,\f1\s)为常数, \ld∈R+=[0,+\i)为参数, f 在 t=0, t=2π 和 u=0处有奇异性, 关于u处满足次线性增长条件.

Abstract

This paper deals with global structure of the following periodic boundary value problem of third order differential equation u′′′+\r3u=\ldf(t,u), 0<t<2π, with u(i)(0)=u(i)(2π), i=0,1,2, where \r∈(0,\f1\s) is a constant, \ld∈R+=[0,+\i) is a parameter, and f is singular at t=0, t=2π and u=0. Also, f is sublinear at \i.

关键词

奇异边值问题 / 全局结构 / 三阶微分方程

Key words

Singular boundary value problem / global structure / third order differential equation

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刘衍胜. 次线性条件下奇异三阶微分方程周期边值问题解的全局结构. 系统科学与数学, 2005, 25(4): 459-465. https://doi.org/10.12341/jssms09586
Liu Yansheng. GLOBAL STRUCTURE OF SINGULAR PERIODIC BOUNDARY VALUE PROBLEM FOR THIRD ORDER DIFFERENTIAL EQUATION UNDER SUBLINEAR CONDITION. Journal of Systems Science and Mathematical Sciences, 2005, 25(4): 459-465 https://doi.org/10.12341/jssms09586
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