Global bifurcation of positive solutions of a second-order periodic boundary value problem with indefinite weight

被引：18
|
作者：
Ma, Ruyun [1 ]
Xu, Jia [1 ]
Han, Xiaoling [1 ]
机构：
[1] NW Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 10期
关键词：
Indefinite weight problem; Bifurcation; Positive periodic solutions; DIFFERENTIAL-EQUATIONS; CAMASSA-HOLM; WATER-WAVES; EXISTENCE; MULTIPLICITY; INTERVAL;
D O I：
10.1016/j.na.2011.02.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the global structure and stability of positive solutions of periodic boundary value problem -u ''(t) + q(t)u(t) = lambda a(t)f(u(t)), 0 < t < 2 pi, u(0) = u(2 pi), u'(0) = u'(2 pi), where q is an element of C(R, [0, infinity)) is of periodic 2 pi and q(t) not equivalent to 0, t is an element of [0, 2 pi]; a is an element of C(R, R) is of periodic 2 pi and changes sign. The proof of our main results are based on bifurcation techniques. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3379 / 3385
页数：7
相关论文
共 50 条
12345