4 papers
math.CA2007
Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities
Hongbin Chen, Yi Li
We 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 exact…
math.CA2007
Existence, uniqueness, and stability of periodic solutions of an equation of Duffing type
Hongbin Chen, Yi Li
We 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. Fu…
math.CA2007
Rate of Decay of Stable Periodic Solutions of Duffing Equations
Hongbin Chen, Yi Li
In this paper, we consider the second-order equations of Duffing type. Bounds for the derivative of the restoring force are given that ensure the existence and uniqueness of a peri…
math.AP2007
Regularity of the solutions for nonlinear biharmonic equations in R^{N}
Yinbin Deng, Yi Li
The purpose of this paper is to establish the regularity the weak solutions for a nonlinear biharmonic equation.