BIFURCATION FROM INTERVAL AND POSITIVE SOLUTIONS FOR SECOND ORDER PERIODIC BOUNDARY VALUE PROBLEMS

被引：0

作者：

Ma, Ruyun ^{[1
]}

Xu, Jia ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2010年 / 19卷 / 02期

关键词：

DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a global description of the branches of positive solutions of second order periodic boundary value problems u '' - q(t)u + lambda a(t)f(u) = 0, 0 < t <2 pi, u(0) = u(2 pi), u'(0) = u'(2 pi) which are not necessarily linearizable. Our approach based on topological degree and global bifurcation techniques.

引用

页码：211 / 224

页数：14

共 50 条

[31] POSITIVE SOLUTIONS OF SINGULAR SUPERLINEAR SECOND ORDER BOUNDARY VALUE PROBLEMS
韦忠礼
Annals of Applied Mathematics, 1998, (02) : 227 - 231
[32] On the Existence of Positive Solutions of Singular Second Order Boundary Value Problems
LI He-chengDepartment of Mathematics
Chinese Quarterly Journal of Mathematics, 2004, (01) : 101 - 106
[33] Positive solutions for second order boundary value problems with derivative terms
Li, Yongxiang
MATHEMATISCHE NACHRICHTEN, 2016, 289 (16) : 2058 - 2068
[34] POSITIVE SOLUTIONS OF SECOND ORDER NONLINEAR DIFFERENCE BOUNDARY VALUE PROBLEMS
Kong, Qingkai
Wang, Min
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009,
[35] Positive solutions for a class of semipositone periodic boundary value problems via bifurcation theory
He, Zhiqian
Ma, Ruyun
Xu, Man
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2019, (29) : 1 - 15
[36] POSITIVE SOLUTIONS OF PERIODIC BOUNDARY VALUE PROBLEM FOR SECOND ORDER DIFFERENTIAL SYSTEMS
Peng Shiguo (College of Automation
Annals of Applied Mathematics, 2005, (02) : 192 - 197
[37] BIFURCATION FROM INFINITY AND MULTIPLE SOLUTIONS FOR FIRST-ORDER PERIODIC BOUNDARY-VALUE PROBLEMS
Wang, Zhenyan
Gao, Chenghua
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[38] Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems
Rachunková, I
Tvrdy, M
Vrkoc, I
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 176 (02) : 445 - 469
[39] Positive Solutions of Three-Order Delayed Periodic Boundary Value Problems
Wang, Na
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2017, 2017
[40] Three positive solutions for second-order periodic boundary value problems with sign-changing weight
He, Zhiqian
Ma, Ruyun
Xu, Man
BOUNDARY VALUE PROBLEMS, 2018,

← 1 2 3 4 5 →