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带p-Laplace算子二阶时滞微分方程边值问题正解的存在性 被引量:1

Existence of Positive Solutions of Second Order BoundaryValue Problems with p-Laplacian Delay Differential Equation
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摘要 利用上下解方法和Krasnosel’skii不动点定理讨论了一类带p-Laplace算子二阶时滞微分方程边值问题正解的存在性. We use upper and lower solutions method and compression-stretching theorem in cones to study a class of second order boundary value problems with p-Laplacian delay differential equation,and obtains the existence of positive solutions.
出处 《广西师范学院学报(自然科学版)》 2012年第1期32-36,共5页 Journal of Guangxi Teachers Education University(Natural Science Edition)
基金 广西教育科学基金(201012MS025) 广西壮族自治区研究生教育创新基金(201106060701M37)
关键词 边值问题 时滞 正解 boundary value problem delay positive solution
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参考文献8

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二级参考文献6

  • 1Tadeusz J., Solvability of three point boundary value problems for second order differential equations with deviating arguments, Journal of Mathematical Analysis and Applications, 2005, 312: 620-636. 被引量:1
  • 2Tadeusz J., Functional differential equations of second order, Bulletin of the Belgian Mathematical Society, 2003, 10: 291-298. 被引量:1
  • 3Jiang D. Q., Zhang L. L., Positive solutions for boundary value problems of second-order delay differential equations, Acta Mathematica Sinica, Chinese Series, 2003, 46(4): 739-746. 被引量:1
  • 4Shu X. B., Xu Y. T., Triple positive solutions for a class of boundary value problems of second-order functional differential equations, Acta Mathematiea Sinica, Chinese Series, 2005, 48(6): 1113-1120. 被引量:1
  • 5Shu X. B., Huang L. H., Li Y. J., Triple positive solutions for a class of boundary value problems for second- order neutral functional differential equations, Nonlinear Analysis, 2006, 65(4): 825-840. 被引量:1
  • 6Ma D. X., Ge W. G., Existence and iteration of solutions for a multi-point boundary value problem with a p-Laplacian operator, Acta Mathematiea Siniea, Chinese Series, 2008, 51(3): 447-456. 被引量:1

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