Reversed S -shaped connected component for second-order periodic boundary value problem with sign-changing weight

Abstract

In this paper, we consider the existence of an reversed S -shaped connected component in the set of positive solutions for second order periodic boundary value problem with a sign-changing weight function. By bifurcation technique, we identify the interval of bifurcation parameter in which the periodic boundary value problem has one or two or three positive solutions according to the asymptotic behavior of f at 0 and ∞.

Keywords

• positive solution
• periodic boundary value problem
• bifurcation