Special Session 28: 

Stability analysis of traveling wave solutions for a class of lattice differential equations

Jian-Jhong Lin
National Taipei University of Technology
Taiwan
Co-Author(s):    Cheng-Hsiung Hsu
Abstract:
In this talk, we are concerned with the exponential stability of traveling wave solutions for a class of lattice differential equations. By the comparison principles, we can prove that any solution of the Cauchy problem for the lattice differential equations converges exponentially to a traveling wave solution provided that the initial perturbations belonging to suitable weighed spaces.