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一类具有p-Laplacian算子的多点边值问题正解的存在性 被引量：2

The existence of positive solution for a multi-point boundary value problem with p-Laplacian
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摘要 研究了具有p-Laplacian算子的多点边值问题正解的存在性,采用的工具是不动点指数理论. We get positive solutions of a multi-point boundary value problem with a p-Laplacian operator. The tool used is the fixed point index theory.
作者 马德香 周翠莲
机构地区 山东科技大学信息科学与工程学院 山东理工大学数学与信息科学学院
出处 《山东理工大学学报（自然科学版）》 CAS 2005年第3期10-14,共5页 Journal of Shandong University of Technology:Natural Science Edition
关键词 正解 P-LAPLACIAN算子 多点边值 <Keyword>positive solution p-Laplacian multi-point boundary value
分类号 O175.15 [理学—基础数学]
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参考文献5

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共引文献43

同被引文献12

  • 1刘锡平,贾梅,葛渭高.p-Laplace算子方程三点边值问题单调正解的存在性[J].吉林大学学报（理学版）,2007,45(1):49-55. 被引量：10
  • 2郭大钧.非线性泛函分析[M].济南:山东科学技术出版社,2002.193～194
  • 3LIU Xiujun, QIU Jiqing, GUO Yanping. Three positive solutions for second order m-point boundary value problems[J]. Applied Mathematics and Computation, 2004,156.733-742.
  • 4BAI Zhanbing, GE Weigao. Existence of three positive solutions for some second-order boundary value problems[J]. Computers & Mathmatics with Applications, 2004,(48) :699-707.
  • 5YANG Liu, LIU Xingping,JIA Mei. Multiplicity results for second-order m-moint boundary value problem[J].Jouranal of Mathematical Analysis and Applecations,2006, (324):532-542.
  • 6WANG Junyu. The Existence of positive solutions for the one- dimenstional p - Laplacian [J]. Proc Amer Math Soc,1997, (125):2275-2283.
  • 7GUPTA C P. A sharper condition for the Solvability of a three-point second order boundary value problem [J ]. J Math Anal Appl, 1997,205 (2) : 586 - 579.
  • 8GE Wei-gao , REN Jing-li. An extension of Mawhin' s continuation theorem and its application to boundary value problem with a p-Laplacain [J]. Nonlinear Analysis, 2004,58(3 - 4) :477 - 488.
  • 9GARCID-HUIDOBRO M, C P GUPTA MANASEVICH R, An m-point boundary value problem of Neumann type for a p-Laplacian like operator [J ]. Nonlinear Analysis, 2004,56(7):1 071- 1 089.
  • 10贺小明,葛渭高.一维P-Laplacian方程正解的三解定理[J].应用数学学报,2003,26(3):504-510. 被引量：13

引证文献2

二级引证文献4

山东理工大学学报（自然科学版）
2005年 第3期

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