期刊
ABSTRACT AND APPLIED ANALYSIS
卷 -, 期 -, 页码 -出版社
HINDAWI PUBLISHING CORPORATION
DOI: 10.1155/2014/490161
关键词
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资金
- National Natural Science Foundation of China, Shanghai Leading Academic Discipline Project [XTKX2012]
- Innovation Program of Shanghai Municipal Education Commission [14YZ096]
- Hujiang Foundation of China [B14005]
- National Natural Science Foundation of China
- RFDP
- National Science Council
- NCTS of Taiwan
This work investigates traveling waves for a class of delayed cellular neural networks with nonmonotonic output functions on the one-dimensional integer lattice Z. The dynamics of each given cell depends on itself and its nearest m left or l right neighborhood cells with distributed delay due to, for example, finite switching speed and finite velocity of signal transmission. Our technique is to construct two appropriate nondecreasing functions to squeeze the nonmonotonic output functions. Then we construct a suitable wave profiles set and derive the existence of traveling wave solutions by using Schauder's fixed point theorem.
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