52 citations · 54 across the 6 of their papers we have counts for
6 papers
A Proof of the Riemann Hypothesis Using Bombieri's Equivalence Theorem
Xiao Lin
The Riemann Hypothesis asserts that the Riemann function has no zeros in the critical strip except on the critical line . Bombieri, in…
Traveling wave solutions for a predator-prey system with Sigmoidal response function
Xiaobiao Lin, Peixuan Weng, Chufen Wu
We study the existence of traveling wave solutions for a diffusive predator-prey system. The system considered in this paper is governed by a Sigmoidal response function which is m…
Twisted and Nontwisted Bifurcations Induced by Diffusion
Xiao-Biao Lin
We discuss a diffusively perturbed predator-prey system. Freedman and Wolkowicz showed that the corresponding ODE can have a periodic solution that bifurcates from a homoclinic loo…
Shadowing matching errors for wave-front-like solutions
Xiao-Biao Lin
Consider a singularly perturbed system Assume that the system has a sequence of regular and internal lay…
Local and Global Existence of Multiple Waves Near Formal Approximations
Xiao-Biao Lin
Assuming that a formal approximation of multiple waves has been obtained by matched asymptotic methods, we derive a {\em Spatial Shadowing lemma} to construct exact solutions near…
Asymptotic expansion for layer solutions of a singularly perturbed reaction-diffusion system
Xiao-Biao Lin
For a singularly perturbed system of reaction--diffusion equations, assuming that the 0th order solutions in regular and singular regions are all stable, we construct matched asymp…