非线性抽象泛函微分方程的吸引性(英文)  

Attractivity of Nonlinear Abstract Functional Differential Equations

作　　者：王广兰[1] 赵洪涌[1] 

机构地区：[1]新疆师范大学数学系,乌鲁木齐830054

出　　处：《四川大学学报（自然科学版）》2002年第5期810-814,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：theNationalNaturalScienceFoundationofChinaUnderGrant(10 1710 44 )

摘　　要：研究了非线性抽象泛函微分方程的有界性和吸引集 ,并给出了其存在性的充分准则 .特别地 ,当系统有平衡点时 。functional differential equations are studied.Sufficient conditions for boundedness and attracting set of the equations are obtained.More specially,when the equations have a equilibrium point,the authors show that the equilibrium point is asymptotically stable.An example is also worked out to illustrate those results.

关 键 词：非线性抽象泛函微分方程 吸引性 吸引集 有界性 全局渐近稳定 平衡点 充分准则 

分 类 号：O175.7[理学—数学]