高师理科学刊2024，Vol.44Issue(5)：1-3,3.DOI:10.3969/j.issn.1007-9831.2024.05.001
时滞扩散型Logistic方程解的稳定性
Stability about solutions of the diffusive Logistic equation with time-delay
摘要
Abstract
The stability of the solution of the initial boundary value problem of the diffusion Logistic equation with time delay under Neumann boundary condition is studied.Using the method of energy estimation and Halanay inequality,it is proved that when the coefficients of the equation satisfy certain conditions,the solution converges exponentially to the steady-state solution of the constant value.关键词
Logistic方程/Neumann边值/稳定性/能量估计Key words
Logistic equation/Neumann boundary value/stability/energy estimate分类
数理科学引用本文复制引用
姜亦成,樊红云..时滞扩散型Logistic方程解的稳定性[J].高师理科学刊,2024,44(5):1-3,3.基金项目
齐齐哈尔大学博士科研基金启动项目(130412119195) （130412119195）
黑龙江省高等教育学会高等教育研究课题(23GJYBC060) （23GJYBC060）
