Electron. J. Differential Equations, Vol. 2019 (2019), No. 74, pp. 1-15.

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

Ning Wang, Zhi-Cheng Wang

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.

Show me the PDF file (327 KB), TEX file for this article.

Ning Wang
School Mathematics and Statistics
Lanzhou University
Lanzhou, Gansu 730000, China
email: nwang15@lzu.edu.cn
Zhi-Cheng Wang
School Mathematics and Statistics
Lanzhou University
Lanzhou, Gansu 730000, China
email: wangzhch@lzu.edu.cn

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