8 citations · 9 across the 8 of their papers we have counts for
8 papers
On the perturbed Gelfand equation from combustion theory
Philip Korman, Yi Li, Tiancheng Ouyang
For the perturbed Gelfand's equation on the unit ball in two dimensions, Y. Du and Y. Lou [4] proved that the curve of positive solutions is exactly -shaped, for sufficiently sm…
Harmonic oscillators at resonance, perturbed by a non-linear friction force
Philip Korman, Yi Li
This note is an addendum to the results of P.O. Frederickson and A.C. Lazer [1], and A.C. Lazer [4] on periodic oscillations, with linear part at resonance. We show that a small mo…
Traveling Waves in a Three Species Competition-cooperation System
Xiaojie Hou, Yi Li
This paper studies the traveling wave solutions to a three species competition cooperation system. The existence of the traveling waves is investigated via monotone iteration metho…
Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem
Yi Li, Chunshan Zhao
In this paper we study the shape of least-energy solutions to a singularly perturbed quasilinear problem with homogeneous Neumann boundary condition. We use an intrinsic variation…
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…
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…