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三阶非线性奇异微分方程组的正解

Positive Solutions for Systems of Nonlinear Singular Third-order Differential Equations
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摘要 研究带有参数的三阶非线性奇异微分方程组两点边值问题正解的存在性,通过运用锥理论中的不动点定理,得到了有关方程组正解存在性的多种结果. In this paper,we investigate the existence of positive solutions for systems of nonlinear singular third-order differential equations with parameters.By using fixed-point theorem of cone,we estblish various results on the existence of solutions for systems of nonlinear singular third-order differential equations.
作者 张丽 张克梅
出处 《曲阜师范大学学报(自然科学版)》 CAS 2010年第4期9-14,共6页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金资助项目(10871167)
关键词 三阶边值问题 微分方程组 不动点定理 正解 Third-order boundary valueproblem systems of differential equations fixed-point theorem positive solutions
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参考文献8

  • 1Liu Z,Ume J,Kang S.Positive solutions of nonlinear third order two-point boundary value problem[J].Math Anal Appl,2007,326:589-601.
  • 2Hu L,Wang L L.Muliple positive solutions of boundary value problem for systems nonlinear second-order differential equations[J].Math Anal Appl,2007,335:1052-1060.
  • 3El-Shahed M.Positive solutions for nonlinear singular third order boundary value problem[J].Nonlinear Science Numerical Simulation,2009,14:424-429.
  • 4Sun H,Wen W.On the number of positive solutions for a nonlinearthird order boundary value problem[J].Int J Differ Equ,2006,(1):165-176.
  • 5Li Y,Guo Y.Existence of positive solutions for systems third-order differential equations[J].Nonlinear Science Numerical Simulation,Inpress.
  • 6Guo L L,Sun J P,Zhao Y H.Existence of positive solutions forthird-order third-point boundary value problem[J].Nonlinear Anal,2008,68:3151-3158.
  • 7Jo(a)o M do (O),Lorca S,Ubilla P.Multiplicity of solutions for a class of non-homogeneous fourth-order boundary value problems[J].Applied Mathematics Letters,Inpress.
  • 8郭晓霞,张克梅.一类三阶奇异非线性微分方程三点边值问题的正解存在性[J].曲阜师范大学学报(自然科学版),2009,35(1):1-6. 被引量:6

二级参考文献17

  • 1桑彦彬,郭英新,张克梅.一类非线性三点边值问题正解的存在性[J].曲阜师范大学学报(自然科学版),2005,31(4):23-26. 被引量:1
  • 2Yosida K. Functional Analysis[ M ]. Fourth ed Berlin: Springer-Verlag, 1978.
  • 3Guo D J, Sun J X, Liu Z L. Functional method nonlinear ordinary differential equations [ M ]. Jinan : Shandong Science and Technology Press, 1995.
  • 4Ma Ruyun, Wang Haiyan. On the existence of positive solutions of fourth-order ordinary differential equations[ J ]. Appl Anal, 1995, 59: 225-231.
  • 5Gregus M. Tird order linear differential equations [ M ]. Math Appl, Reidel, Dordrecht, 1987.
  • 6Cabada A. The method of lower and upper solutions for third-order periodic boundaru value problems [ J ]. J Math Anal Appl, 1995, 195: 568-589.
  • 7Cabada A. The method of lower and upper solutions for second, third, fourth, and higher order boundary valueproblemsn[ J]. J Math Anal Appl, 1994, 185: 302-320.
  • 8Omari P, Trombetta M. Remarks on the lower and upper solutions method for second-and third-order periodicboundary value problems[J]. Appl Math Comput, 1992, 50: 1-21.
  • 9Sun Y. Positive solutions of singular third-order three-point boundary value problem[ J]. J Math Appl,2005, 306: 589-603.
  • 10Guo Lijun,Sun Jianping, Zhao Yahong. Existence of positive solutions for nonlinear third-order three-point boundary value problems[J]. Nonlinear Analysis, 2008, 68(10): 3151-3158.

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