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

Shi Liang Wu, Cheng Hsiung Hsu

研究成果: 雜誌貢獻期刊論文同行評審

12 引文 斯高帕斯(Scopus)

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.

原文???core.languages.en_GB???
頁(從 - 到)1085-1112
頁數28
期刊Proceedings of the Royal Society of Edinburgh Section A: Mathematics
144
發行號5
DOIs
出版狀態已出版 - 12 10月 2014

指紋

深入研究「Entire solutions of non-quasi-monotone delayed reaction-diffusion equations with applications」主題。共同形成了獨特的指紋。

引用此