Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 164, Issue 2, Pages 431-450Publisher
ACADEMIC PRESS INC
DOI: 10.1006/jdeq.2000.3770
Keywords
traveling wave; discrete dynamical system; cellular neural networks
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This work proves the existence and multiplicity results of monotonic traveling wave solutions for some lattice differential equations by using the monotone iteration method. Our results include the model of cellular neural networks (CNN). In addition to the monotonic traveling wave solutions, non-monotonic and oscillating traveling wave solutions in the delay type of CNN are also obtained. (C) 2000 Academic Press.
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