Traveling waves for delayed cellular neural networks with nonmonotonic output functions

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109302

Title:	Traveling waves for delayed cellular neural networks with nonmonotonic output functions
Authors:	許正雄;Peng, Mingshu;Hsu, Cheng-Hsiung;Yuan, Rong;Yu, Zhi-Xian
Contributors:	理學院數學系
Keywords:	Lattice theory;Mathematical research;Neighborhoods;Neural networks;Ordinary differential equations;Science;Studies;Wave equation
Date:	2014-01-01
Issue Date:	2026-04-23 16:25:13 (UTC+8)
Publisher:	Hindawi Publishing Corporation;Cairo, Egypt: Hindawi Limiteds
Abstract:	摘要： 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. 出版者： Cairo, Egypt: Hindawi Limiteds 出版日期： 2014-01-01 出處： Abstract and Applied Analysis, 2014-01, Vol.2014 (2014), p.415-425-740 資源來源： CEPS中文電子期刊版權： Copyright © 2014 Zhi-Xian Yu et al. 版權： COPYRIGHT 2014 John Wiley & Sons, Inc. 版權： Copyright © 2014 Zhi-Xian Yu et al. Zhi-Xian Yu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 版權： Copyright 2014 Hindawi Publishing Corporation 識別號： ISSN: 1085-3375 識別號： ISSN: 1687-0409 識別號： EISSN: 1687-0409 識別號： DOI: 10.1155/2014/490161
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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