Traveling wave solutions in delayed lattice differential equations with partial monotonicity |
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| Institution: | 1. Department of Mathematics, National University of Defence and Technology, Changsha, Hunan 410073, PR China;2. Department of Mathematics, Central China Normal University, Wuhan, Hubei 430079, PR China;3. Department of Mathematics, University of Miami, Coral Gables, FL 33124-4250, USA |
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| Abstract: | In this paper, we investigate a system of delayed lattice differential equations with partial monotonicity. By using Schauder's fixed point theorem, a new cross-iteration scheme is given to establish the existence of traveling wave solutions. Our main results can deal with the existence of traveling wave solution for a class of delayed reaction diffusion system with partial monotonicity and generalize the results of Wu and Zou (J. Differential Equations 135 (1997) 315–357). |
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