具有时滞和时间依赖阻尼的准地转方程解的稳定性OA
The stability of the solution for quasi-geostrophic equations with delay and time-dependent damping
当时滞是一个有界可测函数且阻尼变化率随时间变化时,给出了泛函准地转方程解的一般稳定性,包括指数稳定性、多项式稳定性以及对数稳定性,拓展了经典准地转方程的稳定性理论.
This paper is devoted to the general stability of the solution for the functional quasi-geostrophic equation when the delay is a bounded measurable function and the damping rate is time varying,including the exponential stability,the polynomial stability and the logarithmic stability,which generalizing the classical stability theorey for quasi-geostrophic equations.
房国慧;梁彤彤
西北师范大学 数学与统计学院,甘肃 兰州 730070西北师范大学 数学与统计学院,甘肃 兰州 730070
数理科学
准地转方程时滞时间依赖阻尼指数稳定性多项式稳定性对数稳定性
quasi-geostrophic equationdelaytime-dependent dampingexponential stabilitypolynomial stabilitylogarithmic stability
《西北师范大学学报（自然科学版）》 2026 (1)
67-71,5
西北师范大学青年教师科研能力提升计划(20220015)甘肃省高校教师创新基金资助项目(2024B-041)
评论