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
GLOBAL STRUCTURE OF SINGULAR PERIODIC BOUNDARY VALUE PROBLEM FOR THIRD ORDER DIFFERENTIAL EQUATION UNDER SUBLINEAR CONDITION
查看参考文献10篇
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文摘
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讨论三阶微分方程周期边值问题{u′″+ρ3u=λf(t,u), 0＜t＜2π;u(i)(0)=u(i)(2π), i=0,1,2,解的全局结构,其中ρ∈(0,1/√3)为常数,λ∈R+=[0,+∞)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. |
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其他语种文摘
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This paper deals with global structure of the following periodic boundary valu problem of third order differential equation u'" + p3u = \f(t,u),0 <t < 2n, with u^(0) = 'u- C2"7r) 3 i = o, 1, 2, where p ￡ (0, 4-) is a constant, A e R+ = [0, +oo) is a parameter, and is sixig-u.]_ar at t = 0, t = 2tt and u - 0. Also, / is sublinear at oo. |
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来源
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系统科学与数学
,2005,25(4):459-465 【核心库】
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关键词
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奇异边值问题
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全局结构
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三阶微分方程
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地址
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山东师范大学数学系, 山东, 济南, 250014
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-0577 |
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学科
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数学 |
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基金
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国家自然科学基金资助课题
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文献收藏号
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CSCD:2027052
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