时滞扩散型Logistic方程解的稳定性
Stability about solutions of the diffusive Logistic equation with time-delay
姜亦成 1樊红云1
作者信息
- 1. 齐齐哈尔大学 理学院,黑龙江 齐齐哈尔 161006
- 折叠
摘要
研究了一类时滞扩散型Logistic方程带有Neumann边界条件的初边值问题解的稳定性.利用能量估计的方法,借助于 Halanay 不等式,证明了当方程系数满足一定条件时,解以指数收敛到常数值的稳态解.
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引用本文复制引用
基金项目
齐齐哈尔大学博士科研基金启动项目(130412119195)
黑龙江省高教学会高等教育研究课题(23GJYBC060)
出版年
2024
国家科技期刊平台
NSTL
万方数据