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一类二阶三点特征值问题正解的存在性

Existence of Positive Solution for a Second-Order Three-Point Eigenvalues Problem
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摘要 利用Krasnoselskii不动点定理研究了一类二阶三点非线性特征值问题正解的存在性问题,得到了至少存在一个正解的几个充分条件. In this paper, the existence of positive solution for a second-order three-point eigenvalues problem is investigated. By using Krasnosel＇skii fixed point theorem, several sufficient conditions for the existence of at least one positive solution are obtained.
作者 胡桐春
机构地区 杭州广播电视大学公共教学部
出处 《杭州师范学院学报（自然科学版）》 2007年第4期249-253,共5页 Journal of Hangzhou Teachers College(Natural Science)
基金 浙江省教育厅科研项目(20051897)
关键词 三点边值问题 Krasnosel’skii不动点定理 正解 存在性 three-point boundary value problem Krasnosel＇skii fixed point theorem positive solution existence
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献12

  • 1[1]Il'in V A,Moiseev E I.Nonlocal boundary value problem of the second kind for a Sturm-Liouvill operator in its differential and finite difference aspects[J].Differential Equations,1987,23(7):803-810.
  • 2[2]Il'in V A,Moiseev E I.Nonlocal boundary value problem of the second kind for a Sturm-Liouvill operator[J].Differential Equations,1987,23(8):979-987.
  • 3[3]Gupta C P.Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equations[J].J.Math.Anal.Appl.,1992,168:540-551.
  • 4[4]Du Zeng-ji,Xue Chun-yan,Ge Wei-gao.Multiple solutions for three-point boundary value problem with nonlinear terms depending on the firrst order derivative[J].Archiv der Mathematik,2005,84:341-349.
  • 5[5]Yang Chen,Zhai Cheng-bo,Yan Ju-rang.Positive solutions of the three-point boundary value proplem for second order differential equations with an advanced argument[J].Nonl.Anal.2006,65:2013-2023.
  • 6[6]Bai Chuan-zhi,Xu Xin-ya.Positive solutions for a functional delay second-order three-point boundary value problem[J].Electron.J.Differential Equations,2006,41:1-11.
  • 7[7]Khan R A,Webb J R L.Existence of at least three solutions of a second-order three-point boundary value problem[J].Nonl.Anal.2006,64:1356-1366.
  • 8Yong-ping Sun.Symmetric Positive Solutions for a Singular Second-Order Three-Point Boundary Value Problem[J].Acta Mathematicae Applicatae Sinica,2006,22(1):65-74. 被引量：3
  • 9[9]Infante G.Eigenvalues of some non-local boundary value problems[J].Proc.Edinburgh Math.Soc.,2003,46:75-86.
  • 10[10]Sun Yong-ping.Nontrivial solution for a three-point boundary value problems[J].Electronic Journal of Differential Equations,2004,111:1-10.

二级参考文献29

  • 1Gupta, C.P. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equations. J. Math. Anal. Appl., 168(2): 540-551 (1992).
  • 2Gupta, C.P. A shaper condition for the solvability of a three-point second order boundary value problem.J. Math. Anal. Appl., 205(2): 586-597 (1997).
  • 3He, X., Ge, W. Triple solutions for second-order three-point boundary value problems. J. Math. Anal.Appl., 268(1): 256-265 (2002).
  • 4Henderson,J., Thompson, H.B. Multiple symmetric positive solutions for a second order boundary value problem. Proc. Amer. Math, Soc., 128(8): 2373-2379 (2000).
  • 5Infante, G. Eigenvalues of some non-local boundary value problems. Proc. Edinburgh Math. Soc., 46(1):75-86 (2003).
  • 6Infante, G., Webb, J.R.L. Nonzero solutions of Hammerstein integral equations with discontinuous kernels.J. Math. Anal. Appl., 272(1): 30-42 (2002).
  • 7Li, F., Zhang, Y. Multiple symmotric nonnegative solutions of second-order ordinary differential equations.Appl. Math. Letters, 17(1): 261-267 (2004).
  • 8Liu, B. Positive solutions of a nonlinear three-point boundary value problem. Comput. Math. Appl.,44(1): 201-211 (2002).
  • 9Lin, B. Positive solution of a nonlinear three-point boundary value problem. Appl. Math. Comput.,132(1):11-28 (2002).
  • 10Ma,R. Existence theorems for second order three-point boundary value problems. J. Math. Anal. Appl.,212(2): 545-555 (1997).

共引文献8

杭州师范学院学报（自然科学版）
2007年 第4期

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