Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter

被引：7
作者：
Wang, Ying [1 ]
Li, Jing [1 ]
Cai, Zengxia [1 ]
机构：
[1] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2017年
基金：
中国国家自然科学基金;
关键词：
positive solution; periodic boundary conditions; second-order differential equation; singularity; EXISTENCE;
D O I：
10.1186/s13661-017-0776-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of positive solutions for a class of singular second-order differential equations with periodic boundary conditions. By using the fixed point theory in cones, the explicit range for. is derived such that for any. lying in this interval, the existence of at least one positive solution to the boundary value problem is guaranteed.
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页数：11
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共 24 条
  • [1] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES
    AMANN, H
    [J]. SIAM REVIEW, 1976, 18 (04) : 620 - 709
  • [2] On the pumping effect in a pipe/tank flow configuration with friction
    Angel Cid, Jose
    Propst, Georg
    Tvrdy, Milan
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2014, 273 : 28 - 33
  • [3] On solvability of periodic boundary value problems for second order linear functional differential equations
    Bravyi, Eugene
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (05) : 1 - 18
  • [4] Cabada A, 2014, SPRINGERBRIEF MATH, P1, DOI 10.1007/978-1-4614-9506-2
  • [5] Computation of Green's functions for boundary value problems with Mathematica
    Cabada, Alberto
    Angel Cid, Jose
    Maquez-Villamarin, Beatriz
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) : 1919 - 1936
  • [6] A topological approach to periodic oscillations related to the Liebau phenomenon
    Cid, J. A.
    Infante, G.
    Tvrdy, M.
    Zima, M.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 423 (02) : 1546 - 1556
  • [7] Fu X, 2010, J INEQUAL APPL, V2010, P11
  • [8] Guo D., 1988, NONLINEAR PROBLEMS A
  • [9] Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
    Guo, Limin
    Liu, Lishan
    Wu, Yonghong
    [J]. BOUNDARY VALUE PROBLEMS, 2016,
  • [10] Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
    Guo, Limin
    Liu, Lishan
    Wu, Yonghong
    [J]. BOUNDARY VALUE PROBLEMS, 2016,
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