Existence of positive solutions of second-order periodic boundary value problems with sign-changing Green's function

被引：6
|
作者：
Gao, Cheng-hua [1 ]
Zhang, Fei [1 ]
Ma, Ru-yun [1 ]
机构：
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2017年 / 33卷 / 02期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
periodic boundary value problem; existence; positive solutions; sign-changing Green's functions; DIFFERENTIAL-EQUATIONS; MULTIPLICITY; BIFURCATION;
D O I：
10.1007/s10255-017-0657-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence of positive solutions of second-order periodic boundary value problem u '' + (1/2 + epsilon)(2) u = lambda g(t)f(u), t is an element of [0, 2 pi], u(0) = u(2 pi), u'(0) = u'(2 pi), where 0 < epsilon < 1/2, g: [0, 2 pi] -> R is continuous, f : [0, infinity) -> R is continuous and lambda > 0 is a parameter.
引用
收藏
页码：263 / 268
页数：6
相关论文
共 50 条
  • [1] Existence of Positive Solutions of Second-order Periodic Boundary Value Problems with Sign-Changing Green's Function
    Cheng-hua GAO
    Fei ZHANG
    Ru-yun MA
    [J]. Acta Mathematicae Applicatae Sinica, 2017, (02) : 263 - 268
  • [2] Existence of positive solutions of second-order periodic boundary value problems with sign-changing Green’s function
    Cheng-hua Gao
    Fei Zhang
    Ru-yun Ma
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2017, 33 : 263 - 268
  • [3] Positive Solutions of Second-Order Boundary Value Problems with Sign-Changing Green's Function
    Zhang, Guo-Wei
    Qu, Xue-Bing
    [J]. Dongbei Daxue Xuebao/Journal of Northeastern University, 2020, 41 (04): : 604 - 608
  • [4] Existence of positive solutions to periodic boundary value problems with sign-changing Green's function
    Shengren Zhong
    Yukun An
    [J]. Boundary Value Problems, 2011
  • [5] Existence of positive solutions to periodic boundary value problems with sign-changing Green's function
    Zhong, Shengren
    An, Yukun
    [J]. BOUNDARY VALUE PROBLEMS, 2011,
  • [6] Three positive solutions for second-order periodic boundary value problems with sign-changing weight
    He, Zhiqian
    Ma, Ruyun
    Xu, Man
    [J]. BOUNDARY VALUE PROBLEMS, 2018,
  • [7] Three positive solutions for second-order periodic boundary value problems with sign-changing weight
    Zhiqian He
    Ruyun Ma
    Man Xu
    [J]. Boundary Value Problems, 2018
  • [8] Sign-Changing Solutions for Discrete Second-Order Periodic Boundary Value Problems
    He, Tieshan
    Zhou, Yiwen
    Xu, Yuantong
    Chen, Chuanyong
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (01) : 181 - 195
  • [9] Sign-Changing Solutions for Discrete Second-Order Periodic Boundary Value Problems
    Tieshan He
    Yiwen Zhou
    Yuantong Xu
    Chuanyong Chen
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 181 - 195
  • [10] Existence of positive solutions for periodic boundary value problem with sign-changing Green’s function
    D. D. Hai
    [J]. Positivity, 2018, 22 : 1269 - 1279
12345