On the stability of solutions of certain systems of ordinary differential equations

1966 ◽  
Vol 73 (1) ◽  
pp. 17-26
Author(s):  
J. O. C. Ezeilo
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Stability Of Solutions ◽  
The Stability

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.

scholarly journals ESTUDO DE ESTABILIDADE DE EQUAÇÕES DIFERENCIAIS ORDINÁRIAS AUTÔNOMAS E APLICAÇÃO

2015 ◽  
Vol 37 ◽  
pp. 474
Author(s):  
Luciano Aparecido Magrini ◽  
Marta Cilene Gadotti
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Pest Control ◽  
Stability Study ◽  
Stability Of Solutions ◽  
Biological Pest Control ◽  
Sugarcane Borer ◽  
The Stability

http://dx.doi.org/10.5902/2179460X14644The aim of this work is to introduce some important results on stability of solutions of autonomous ordinary differential equations and use them in the stability study of a mathematical model of the biological pest control of the sugarcane borer.

scholarly journals Implicit nonlinear fractional differential equations of variable order

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Amar Benkerrouche ◽  
Mohammed Said Souid ◽  
Kanokwan Sitthithakerngkiet ◽  
Ali Hakem
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Variable Order ◽  
Stability Of Solutions ◽  
Nonlinear Fractional Differential Equations ◽  
Caputo Fractional Differential Equations ◽  
Fractional Differential ◽  
The Stability

AbstractIn this manuscript, we examine both the existence and the stability of solutions to the implicit boundary value problem of Caputo fractional differential equations of variable order. We construct an example to illustrate the validity of the observed results.

Stability in terms of two measures for population growth models with impulsive perturbations

2020 ◽  
Vol 13 (06) ◽  
pp. 2050051
Author(s):  
Zhinan Xia ◽  
Qianlian Wu ◽  
Dingjiang Wang
Keyword(s):  
Differential Equations ◽  
Population Growth ◽  
Ordinary Differential Equations ◽  
Trivial Solution ◽  
Growth Models ◽  
Two Measures ◽  
Impulsive Perturbations ◽  
The Stability ◽  
Generalized Ordinary Differential Equations ◽  
Population Growth Models

In this paper, we establish some criteria for the stability of trivial solution of population growth models with impulsive perturbations. The working tools are based on the theory of generalized ordinary differential equations. Here, the conditions concerning the functions are more general than the classical ones.

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