On a Problem of V. V. Nemytskii

被引:0
作者
B. S. Kalitine
机构
[1] Belarusian State University,
来源
Mathematical Notes | 2023年 / 113卷
关键词
dynamical system; invariant set; attraction; elliptic point;
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学科分类号
摘要
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页码:200 / 211
页数:11
相关论文
共 18 条
[1]  
Nemytskii V. V.(1967)Topological classification of singular points and generalized Ljapunov functions Differ. Uravn. 3 359-370
[2]  
Ladis N. N. (1968)The absence of bilateral attraction points Differ. Uravn. 4 1157-167
[3]  
Saito T.(1969)Isolated minimal sets Funkc. Ekvac. 11 155-1105
[4]  
Kalitin B. S.(2004)Lyapunov Stability and Orbital Stability of Dynamical Systems Differ. Equ. 40 1096-1125
[5]  
Kalitin B. S.(2005)On the structure of a neighborhood of stable compact invariant sets Differ. Equ. 41 1115-384
[6]  
Kalitin B. S.(2009)Instability of closed invariant sets of semidynamical systems. Method of sign-constant Lyapunov functions Math. Notes 85 374-249
[7]  
Bhatia N. P.(1970)Attraction and non-saddle sets in dynamical systems J. Differential Equations 8 229-525
[8]  
Kalitin B. S.(1988)A characteristic of compact weakly attracting positively invariant sets Differ. Uravn. 24 1085-892
[9]  
Kalitin B. S.(1994)On the structure of a neighborhood of weakly attracting compact sets Differ. Equ. 30 518-758
[10]  
Kalitin B. S.(1998)A qualitative characteristic of the trajectories in a neighborhood of an attracting compact set Differ. Equ. 34 886-119