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- Title
EXISTENCE OF ENTIRE SOLUTIONS FOR NON-LOCAL DELAYED LATTICE DIFFERENTIAL EQUATIONS.
- Authors
SHI-LIANG WU; SAN-YANG LIU
- Abstract
In this article we study entire solutions for a non-local delayed lattice differential equation with monostable nonlinearity. First, based on a concavity assumption of the birth function, we establish a comparison theorem. Then, applying the comparison theorem, we show the existence and some qualitative features of entire solutions by mixing a finite number of traveling wave fronts with a spatially independent solution.
- Subjects
NUMERICAL solutions to differential equations; TRAVELING waves (Physics); MATHEMATICAL analysis; MATHEMATICAL models; MATHEMATICAL physics
- Publication
Electronic Journal of Differential Equations, 2013, Vol 2013, p1
- ISSN
1550-6150
- Publication type
Article