期刊文献+

带参数的三阶三点边值问题正解的存在性

Existence of positive solutions for third-order three-point boundary value problems with parameter
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摘要 运用不动点指数理论研究一类带参数的三阶非线性常微分方程组三点边值问题,建立该问题正解的存在性、多重性以及不存在准则. By using fixed point index theory,three-point boundary value problems were studied in connection with a class of nonlinear third-order ordinary differential equations with parameters.The existence,multiplicity,and nonexistence criteria of the positive solutions for above-mentioned equations were set up.
作者 何希萍 刘捷
出处 《兰州理工大学学报》 CAS 北大核心 2011年第3期150-154,共5页 Journal of Lanzhou University of Technology
基金 国家自然科学基金(10801065) 甘肃省自然科学基金(0803RJZA096)
关键词 三阶三点边值问题 正解 存在性 不动点指数 third-order three-point boundary value problems positive solution existence cone fixed point index
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参考文献9

  • 1GREGUS M. Third order inear differential equations [M]. Dordreeht: D Reidel Publishing Company, 1987.
  • 2ANDERSON D. Green's function for a third-order generalized fight focal problem [J]. J Math Anal Appl, 2003,288:1-14.
  • 3ANDERSON D, DAVIS J M. Multiple solutions and eigenvalues for third-order right focal boundary value problems [J]. J Math Anal Appl, 2002,267 : 135-157.
  • 4FENG Y,LIU S. Solvability of a third-order two-point boundary value problem [J]. Appl Math Lett, 2005,18:1034-1040.
  • 5MAR Y. Multiplicity results for a third order boundary value problem at resonance [J]. Nonlinear Analysis, 1998, 32 (4) : 493-499.
  • 6SUN Y P. Positive solutions of singular third-order threepoint boundary value problem [J]. J Math Anal Appl, 2005, 306: 589-603.
  • 7WANG H. On the number of positive solutions of nonlinear systems [J]. J Math Anal Appl, 2003,281 : 287-306.
  • 8WANG H. Positive periodic solutions of functional differential equations [J]. J Differ Equ, 2004,202: 354-366.
  • 9KRASNOSELSKII M. Positive solutions of operator equations[M]. Noordhoff: Groningen, 1964.

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