Higher-Order Derivatives of Lyapunov Functions And Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations

被引：3

作者：

Lapin, K. S. ^{[1
]}

机构：

[1] Mordovian State Pedag Inst, Saransk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2018年 / 59卷 / 06期

关键词：

Lyapunov function; uniform-ultimate boundedness; equiultimate boundedness; higherorder derivatives; partially controlled initial conditions;

D O I：

10.1134/S0037446618060137

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the higher-order derivatives of Lyapunov functions, we obtain sufficient tests of various types for the uniform-ultimate boundedness in the sense of Poisson of solutions and various types of equiultimate boundedness of solutions in the sense of Poisson.

引用

页码：1100 / 1104

页数：5

共 50 条

[1] Higher-Order Derivatives of Lyapunov Functions And Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations
K. S. Lapin
Siberian Mathematical Journal, 2018, 59 : 1100 - 1104
[2] Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations and Lyapunov Functions
K. S. Lapin
Mathematical Notes, 2018, 103 : 221 - 231
[3] Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations and Lyapunov Functions
Lapin, K. S.
MATHEMATICAL NOTES, 2018, 103 (1-2) : 221 - 231
[4] Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations
Lapin, K. S.
MATHEMATICAL NOTES, 2018, 104 (1-2) : 63 - 73
[5] Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations
K. S. Lapin
Mathematical Notes, 2018, 104 : 63 - 73
[6] Uniform Boundedness in the Sense of Poisson of Solutions of Systems of Differential Equations and Lyapunov Vector Functions
Lapin, K. S.
DIFFERENTIAL EQUATIONS, 2018, 54 (01) : 38 - 48
[7] Uniform Boundedness in the Sense of Poisson of Solutions of Systems of Differential Equations and Lyapunov Vector Functions
K. S. Lapin
Differential Equations, 2018, 54 : 38 - 48
[8] Higher Lyapunov Functions Derivatives and Total Poisson Boundedness of Solutions
Lapin, K. S.
RUSSIAN MATHEMATICS, 2019, 63 (08) : 17 - 24
[9] Higher Lyapunov Functions Derivatives and Total Poisson Boundedness of Solutions
K. S. Lapin
Russian Mathematics, 2019, 63 : 17 - 24
[10] Poisson Total Boundedness of Solutions of Systems of Differential Equations and Lyapunov Vector Functions
Lapin, K. S.
MATHEMATICAL NOTES, 2018, 104 (1-2) : 253 - 262

← 1 2 3 4 5 →