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

作者：Ma Ruyun^*; Xu Jia; Han Xiaoling

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(10): 3379-3385.

DOI：10.1016/j.na.2011.02.013

• Indefinite weight problem
• Bifurcation
• Positive periodic solutions

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.

• 出版日期2011-7
• 单位西北师范大学