About of the asymptotical stability of solutions of systems of ordinary differential equations

2020 ◽  
Author(s):  
S. Kadry ◽  
G. Alferov ◽  
G. Ivanov ◽  
V. Korolev
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Asymptotical Stability ◽  
Stability Of Solutions

Stability of Solutions of Ordinary Differential Equations with Respect to a Closed Set

1968 ◽  
Vol 20 ◽  
pp. 720-726
Author(s):  
T. G. Hallam ◽  
V. Komkov
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Compact Set ◽  
Stability Of Solutions ◽  
Closed Set ◽  
The Stability ◽  
Stability Results

The stability of the solutions of an ordinary differential equation will be discussed here. The purpose of this note is to compare the stability results which are valid with respect to a compact set and the stability results valid with respect to an unbounded set. The stability of sets is a generalization of stability in the sense of Liapunov and has been discussed by LaSalle (5; 6), LaSalle and Lefschetz (7, p. 58), and Yoshizawa (8; 9; 10).

scholarly journals On the Stability of Solutions of Linear Boundary Value Problems for a System of Ordinary Differential Equations

1994 ◽  
Vol 1 (2) ◽  
pp. 115-126
Author(s):  
M. Ashordia
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Stability Of Solutions ◽  
Linear Boundary ◽  
Boundary Values ◽  
Small Perturbations ◽  
The Stability ◽  
Stability Of The Solution

Abstract Linear boundary value problems for a system of ordinary differential equations are considered. The stability of the solution with respect to small perturbations of coefficients and boundary values is investigated.

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