This paper deals with the existence of traveling wave fronts of spatially discrete reaction-diffusion equations with delay on lattices with general dimension. A monotone iteration starting from an upper solution is established, and the sequence generated from the iteration is shown to converge to a profile function. The main theorem is then applied to a particular equation arising from branching theory.
Published November 12, 1998.
Mathematics Subject Classifications: 34B99,34C37, 34K99, 35K57.
Key words and phrases: spatially discrete, reaction-diffusion equation, delay, lattice, traveling wave front, upper-lower solution.
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