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局部超线性常微分p-Laplacian系统的多重周期解 被引量：4

Multiplicity of Periodic Solutions for Ordinary p-Laplacian Systems with Local Superlinear Nonlinearity
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摘要 利用临界点理论研究常微分p-Laplacian方程周期解的存在性,在比Ambrosetti-Rabinowitz条件更弱的超线性条件下,得到了多重周期解存在的充分条件. The existence of infinitely many solutions for ordinary p-Laplacian systems is studied by critical point theory.Under a condition weaker than Ambrosetti-Rabinowitz＇s superlinear condition,some sufficient conditions for the existence of infinitely many solutions are obtained.
作者 张申贵
机构地区 西北民族大学数学与计算机科学学院
出处 《江西师范大学学报（自然科学版）》 CAS 北大核心 2013年第3期240-243,共4页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金(31260098) 中央高校基本科研业务费专项(31920130004) 西北民族大学中青年科研(12XB38)资助项目
关键词 常微分p-Laplacian系统 局部超线性 临界点 ordinary p-Laplacian systems local superlinear critical point
分类号 O175.25 [理学—基础数学]
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参考文献11

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共引文献1

同被引文献26

  • 1Mophou G M,N Guerekate G M.Existence of mild solutions for some semilinear neutral fractional functional evolution equations with infinite delay[J] .Appli Math Comput,2010,216(1):61-69.
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引证文献4

二级引证文献1

江西师范大学学报（自然科学版）
2013年 第3期

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