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二阶p-Laplacian算子方程的正周期解(英文) 被引量：7

Positive Periodic Solutions for the Differential Equations of 2-order p-Laplacian Operator
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摘要 证明了二阶p-Laplacian算子方程:(φp(u′))′+a(t)f(u)=0,u(0)=u(ω),u′(0)=u′(ω),t∈R(0<ω<1)正周期解的存在性,利用锥上的不动点定理得到了几个充分条件. In the paper, the existence of positive periodic solutions for the differential equations of 2-order p-Laplacianoperator： （φp（u＇））＇ ＋a（t）f（u） =0,u（0） =u（ω）,u＇（0） =u＇（ω）,t∈R（0 〈ω〈1） is shown. Several sufficient conditions are given by a fixed point theorem on cones.
作者 陈顺清
机构地区 四川文理学院数学系
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第2期155-158,共4页 Journal of Sichuan Normal University（Natural Science）
基金 四川省重点科研基金(07ZB114)资助项目
关键词 P-LAPLACIAN算子 不动点 锥 正周期解 p-Laplacian operator Fixed point Cone Positive periodic solutions
分类号 O175.14 [理学—基础数学]
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参考文献9

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二级参考文献20

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共引文献71

同被引文献56

引证文献7

二级引证文献13

四川师范大学学报（自然科学版）
2008年 第2期

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