ArticleLi, Yi LiIn this paper, we study the following Duffing-type equation: x″+cx′+g(t,x)=h(t), where g(t,x) is a 2π-periodic continuous function in t and concave–convex in x, and h(t) is a small continuous 2π-periodic function. The exact multiplicity and stability . . .
ArticleChen, HongbinWe consider a second-order equation of Duffing type. Bounds for the derivative of the restoring force are given which ensure the existence and uniqueness of a periodic solution. Furthermore, the unique periodic solution is asymptotically stable with s . . .
Conference paper or proceedingsStability and Exact Multiplicity of Periodic Solutions of Duffing Equations with Cubic NonlinearitiesLi, Yi LiWe study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities. We obtain sharp bounds for h such that the equation has exactly three ordered T-periodic solutions. Moreover, when h is within these . . .