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EXISTENCE OF SOLUTIONS TO A THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM

EXISTENCE OF SOLUTIONS TO A THIRD-ORDER THREE-POINT BOUNDARY VALUE PROBLEM
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摘要 In this paper,we study the existence of solutions to a third-order three-point boundary value problem.By imposing certain restrictions on the nonlinear term,we prove the existence of at least one solution to the boundary value problem by the method of lower and upper solutions.We are interested in the construction of lower and upper solutions. In this paper,we study the existence of solutions to a third-order three-point boundary value problem.By imposing certain restrictions on the nonlinear term,we prove the existence of at least one solution to the boundary value problem by the method of lower and upper solutions.We are interested in the construction of lower and upper solutions.
作者 Lixin Zhang 1,Bo Sun 2,Chunfeng Xing 1(1.Dept.of Basic Courses,Beijing Union University,Beijing 100101 2.School of Applied Math.,Central University of Finance and Economics,Beijing 100081)
出处 《Annals of Differential Equations》 2012年第3期368-372,共5页 微分方程年刊（英文版）
基金 Supported by the National Natural Science Foundation of China(No.11126245) PHR(IHLB) Funding Project for Young and Middle-aged Backbone Teachers of Beijing Union University
关键词 third-order boundary value problem lower and upper solutions Green's function third-order boundary value problem lower and upper solutions Green's function
分类号 O175.8 [理学—基础数学]
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参考文献10

  • 1D. R. Anderson,J. M. Davis.Multiple solutions and eigenvalues for third-order right focalboundary value problems[].Journal of Mathematical Analysis and Applications.2002
  • 2Cabada A.The method of lower and upper solutions for second, third, fourth and higher order boundary value problems[].Journal of Mathematical Analysis and Applications.1994
  • 3Anderson DR.Green’s function for a third-order generalized right focal problem[].Journal of Mathematical.2003
  • 4Yongping Sun.Existence of triple positive solutions for a third-order three-point bound-ary value problem[].Journal of Computational and Applied Mathematics.2008
  • 5Webb J R L.Positive solutions of some three-point boundary value problems via fixed point index theory[].Nonlinear Analysis.2001
  • 6Y.P.Sun.Positive solutions for third-order three-point nonhomogeneous boundary value pro-blems[].Applied Mathematics Letters.2009
  • 7Z.B.Bai.Existence of solutions for some third-order boundary value problems[].Electronic JDifferential Equations.2008
  • 8B.Sun,J.Zhao,P.Yang,W.Ge.Successive iteration and positive solutions for a third-order multipoint generalized right-focal boundary value problem with p-Laplacian[].Nonlinear Analysis.2009
  • 9L.J.Guo,J.P.Sun,Y.H.Zhao.Existence of positive solution for nonlinear third-order three-point boundary value problem[].Nonlinear Analysis.2008
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Annals of Differential Equations
2012年 第3期

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