題目：Stability for Monostable Wavefronts of Delayed Lattice Differential Equations
主講人：楊智烜教授(東海大學數學系)
時間：106年06月09日(星期五)下午3：00-5：00
地點：民生校區五育樓4樓401教室
摘要
The existence of traveling wave fronts for delayed monostable lattice differential equations has been well investigated in the literature. This talk is mainly concerned with the stability of traveling wave fronts. We apply the contraction principle to obtain the existence, uniqueness and positivity of solutions for the Cauchy problem. Next, we study the stability of a traveling wave front by using comparison principles for the Cauchy problem and initial-boundary value problem of the lattice differential equations, respectively. We show that any solution of the Cauchy problem converges exponentially to a traveling wave front provided the initial perturbation around the traveling wave front is restricted in the weighted space whose asymptotic exponential rate at $-\infty$ (in moving coordinate) is greater than that of the traveling wave front.