Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 74, pp. 1-15.

Title: Generalized spreading speeds for lattice differential equations
       with time and space dependence

Authors: Ning Wang      (Lanzhou Univ., Gansu, China)
         Zhi-Cheng Wang (Lanzhou Univ., Gansu, China)

Abstract:
 This article concerns the spatial spreading speeds for lattice differential
 equations with general time and space dependence.
 Firstly, we give the concept of spreading speed intervals.
 Then, under the suitable assumptions we show the existence and properties
 of spreading speed intervals.

Submitted January 12, 2019. Published May 30, 2019.
Math Subject Classifications: 37L60, 34K31, 35B40, 92D25.
Key Words: Lattice differential equation; spatial spreading speed;
           global solution; comparison principle.