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一类四阶两点边值问题解存在性的上下解方法

Upper and Lower Solution Method for Fourth-order Two-point Boundary Value Problems
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摘要 讨论四阶两点常微分方程边值问题的解的存在性;利用上下解方法,给出了解的存在性结果. This paper discusses the existence of the solution of boundary value of the fourth-order two-point ordinary differential equation.Some new existence results are obtained by the upper and lower solution method and the monotone iterative technique.
作者 席进华
出处 《重庆工商大学学报(自然科学版)》 2010年第4期322-326,共5页 Journal of Chongqing Technology and Business University:Natural Science Edition
基金 甘肃民族师范学院校长基金资助项目
关键词 边值问题 上下解 四阶 两点 boundary value problem upper and lower solution fourth-order two-point
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参考文献11

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二级参考文献9

  • 1USMANI R A. A uniqueness theorem for a boundary value problem[J]. Pro Amer Math Soci, 1979, 77:329-335.
  • 2AFTABIZADEH A R. Existence and uniqueness theorem for fourth-order boundary value problem[ J]. J Math Anal Appl 1986, 116:415- 426.
  • 3YANG Yisong. Fourth-order two-point boundary value problems[J]. Pro Amer Math Soci, 1988, 104:175-180.
  • 4GUPTA C P. Existence and uniqueness theorem results for the bending of an elastic beam equation at resonance[J]. J Math Anal Appl, 1988, 135:208-225.
  • 5ROVDERAVA E, DOVDER J. On the number of solutions of a fourth-order boundary value problem[J]. Nonlinear Anal, 1997, 30: 4875-4880.
  • 6MA Ruyun, ZHANG Zhijun, FU Shengmao. The method of lower and upper solutions for fourth-order boundary value problem[ J]. J Math Anal Appl, 1997, 215:415-422.
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  • 9姚庆六,白占兵,hdpu.edu.cn.u^(4)(t)-λh(t)f(u(t))=0的边值问题的正解存在性[J].数学年刊(A辑),1999,20A(5):575-578. 被引量:52

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