Existence and uniqueness of traveling waves in a class of unidirectional lattice differential equations
نویسندگان
چکیده
We prove the existence and uniqueness, for wave speeds sufficiently large, of monotone traveling wave solutions connecting 0 and 1 for a class of N -dimensional lattice differential equations with unidirectional coupling. We also obtain a variational characterization of the minimum wave speed. The class of systems that we study includes as a special case the one-dimensional lattice equation un = −un + un−1. We build on a 2004 paper of Peletier and Rodriquez [3].
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