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

[21] Multiple positive solutions of periodic boundary value problems for second order impulsive differential equations
Tian, Yu
Jiang, Daqing
Ge, Weigao
APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) : 123 - 132
[22] Triple positive periodic solutions of nonlinear singular second-order boundary value problems
Yao, Qing Liu
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (02) : 361 - 370
[23] Multiple Positive Solutions of Periodic Boundary Value Problems for Second Order Impulsive Differential Equations
Zhang, Xiaoying
Guan, Lihong
Yang, Lixian
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 802 - 810
[24] Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem
Ma, Ruyun
Xu, Jia
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) : 113 - 122
[25] The existence of solutions to nonlinear second order periodic boundary value problems
Zhang, Yong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 76 : 140 - 152
[26] Positive solutions of even order system periodic boundary value problems
Kong, Qingkai
Wang, Min
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1778 - 1791
[27] Positive solutions of higher-order periodic boundary value problems
Li, YX
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (1-2) : 153 - 161
[28] Positive solutions of fourth-order periodic boundary value problems
Li, YX
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (06) : 1069 - 1078
[29] Bifurcation from infinity and multiple solutions for periodic boundary value problems
Ma, RY
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (01) : 27 - 39
[30] POSITIVE SOLUTIONS OF SINGULAR SUBLINEAR SECOND ORDER BOUNDARY VALUE PROBLEMS
WEI Zhongli(Department of Fundamental Courses
SystemsScienceandMathematicalSciences, 1998, (01) : 82 - 88

← 1 2 3 4 5 →