Entire solutions of non-quasi-monotone delayed reaction-diffusion equations with applications

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題名:	Entire solutions of non-quasi-monotone delayed reaction-diffusion equations with applications
作者:	許正雄;Wu, Shi-Liang;Hsu, Cheng-Hsiung
貢獻者:	理學院數學系
關鍵詞:	Cellular;Cellular communication;Chemical reactions;Differential equations;Diffusion;Lattices;Mathematical analysis;Neural networks;Reaction-diffusion equations;Wave fronts
日期:	2014-01-01
上傳時間:	2026-04-23 16:14:33 (UTC+8)
出版者:	Cambridge University Press;Edinburgh, UK: Royal Society of Edinburgh Scotland Foundation
摘要:	摘要： We are interested in finding the entire solutions of non-quasi-monotone delayed non-local reaction–diffusion equations. It is well known that the comparison principle is not applicable for such equations. To overcome this difficulty, we introduce two auxiliary quasi-monotone equations and establish some comparison arguments for the three systems. Some new types of entire solutions are then constructed using the comparison argument, the travelling wavefronts and a spatially independent solution of the auxiliary equations. We also extend our arguments to a delayed cellular neural network with non-monotonic output functions and a delayed non-local lattice differential equation with non-monotonic birth functions. 其他題名： Proceedings of the Royal Society of Edinburgh: Section A Mathematics 出版者： Edinburgh, UK: Royal Society of Edinburgh Scotland Foundation 出版日期： 2014-10-01 出處： Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2014-10, Vol.144 (5), p.1085-1112 資源來源： Alma/SFX Local Collection 版權： Copyright © Royal Society of Edinburgh 2014 識別號： ISSN: 0308-2105 識別號： EISSN: 1473-7124 識別號： DOI: 10.1017/S0308210512001412
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