Existence of solutions for fourth-order boundary value problem with parameter

被引：0
|
作者：
Yang Yang
Ji-hui Zhang
机构：
[1] Nanjing Normal University,Institute of Mathematics, School of Mathematical Science
[2] Jiangnan University,School of Science
来源：
Applied Mathematics and Mechanics | 2010年 / 31卷
关键词：
boundary value problem; critical point; invariant sets; retracting property; O29; 34B15; 46N20; 49J35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is a sequel to a previous paper (Yang, Y. and Zhang, J. H. Existence of solutions for some fourth-order boundary value problems with parameters. Nonlinear Anal.69(2), 1364–1375 (2008)) in which the nontrivial solutions to the fourth-order boundary value problems were studied. In the current work with the same conditions near infinity but different near zero, the positive, negative, and sign-changing solutions are obtained by the critical point theory, retracting property, and invariant sets.
引用
收藏
页码：377 / 384
页数：7
相关论文
共 50 条
  • [41] Existence of solutions for fourth order boundary value problems on a time scale
    Henderson, J
    Yin, W
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2003, 9 (01) : 15 - 28
  • [42] A fourth-order boundary value problem for a Sturm-Liouville type equation
    Bonanno, Gabriele
    Di Bella, Beatrice
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (08) : 3635 - 3640
  • [43] S-shaped connected component for the fourth-order boundary value problem
    Jinxiang Wang
    Ruyun Ma
    Boundary Value Problems, 2016
  • [44] Second Boundary Value Problem for a Fourth-Order Inhomogeneous Equation with Variable Coefficients
    Apakov, Yu. P.
    Mamajonov, S. M.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2024, 45 (08) : 3849 - 3859
  • [45] S-shaped connected component for the fourth-order boundary value problem
    Wang, Jinxiang
    Ma, Ruyun
    BOUNDARY VALUE PROBLEMS, 2016,
  • [46] Fractal Quintic Spline Solutions for Fourth-Order Boundary-Value Problems
    Balasubramani N.
    Guru Prem Prasad M.
    Natesan S.
    International Journal of Applied and Computational Mathematics, 2019, 5 (5)
  • [47] Existence of Solutions to Nonlinear Fourth-Order Beam Equation
    Urszula Ostaszewska
    Ewa Schmeidel
    Małgorzata Zdanowicz
    Qualitative Theory of Dynamical Systems, 2023, 22
  • [48] Existence of Solutions to Nonlinear Fourth-Order Beam Equation
    Ostaszewska, Urszula
    Schmeidel, Ewa
    Zdanowicz, Malgorzata
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (03)
  • [49] Existence of positive solutions for a fourth-order differential system
    Agarwal, Ravi P.
    Kovacs, B.
    O'Regan, D.
    ANNALES POLONICI MATHEMATICI, 2014, 112 (03) : 301 - 312
  • [50] EXISTENCE OF MULTIPLE SOLUTIONS TO A FRACTIONAL DIFFERENCE BOUNDARY VALUE PROBLEM WITH PARAMETER
    Dan Li
    Yansheng He
    Chengmin Hou
    Annals of Differential Equations, 2014, 30 (03) : 301 - 311
12345