一类具有时变系数的超线性抛物系统的渐近稳定性  

Asymptotic stability for a class of super-linear parabolic systems with time-varying coefficients

作　　者：郑军 何莎 ZHENG Jun;HE Sha(School of Mathematics,Southwest Jiaotong University,Chengdu 611756,China;Department of Electrical Engineering,Polytechnique Montreeal,Montreal H3T 1J4,Canada)

机构地区：[1]西南交通大学数学学院,四川成都611756 [2]蒙特利尔工学院电气工程系,加拿大蒙特利尔H3T 1J4

出　　处：《高校应用数学学报（A辑）》2021年第4期429-437,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11901482)。

摘　　要：首先证明了一类具有时变系数及多个非线性项的常微分系统在小初值条件下的渐近稳定性,进而利用此结论,在小初值条件下,证明了一类具有时变系数的超线性抛物系统在不同范数意义下的渐近稳定性.An asymptotic stability was fist proved for a class of ordinary differential equations(ODEs)with time-varying coefficients,multiple nonlinear terms,and small initial data.Then,applying such a result of ODEs,asymptotic stabilities in different norms were proved for a class of super-linear parabolic equations with time-varying coefficients under the condition of small initial data.

关 键 词：超线性抛物方程 非线性抛物方程 时变系数 渐近稳定性 

分 类 号：O175.14[理学—数学]