## 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??? |
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頁（從 - 到） | 1085-1112 |

頁數 | 28 |

期刊 | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |

卷 | 144 |

發行號 | 5 |

DOIs | |

出版狀態 | 已出版 - 12 10月 2014 |