On the Stability of Non-Autonomous Differential Equations dx/dt = (A + B(t))x, with Skew-Symmetric Matrix B(t)

1975 ◽  
Author(s):  
A. P. Morgan ◽  
K. S. Narendra
Keyword(s):  
Differential Equations ◽  
Symmetric Matrix ◽  
The Stability ◽  
Autonomous Differential Equations ◽  
Skew Symmetric Matrix

STABILITY OF ONE-PARAMETER SYSTEMS OF LINEAR AUTONOMOUS DIFFERENTIAL EQUATIONS WITH BOUNDED DELAY

2018 ◽  
pp. 488-502
Author(s):  
Mikhail Vadimovich Mulyukov
Keyword(s):  
Characteristic Function ◽  
Differential Equations ◽  
Stability Region ◽  
Scalar Parameter ◽  
Bounded Delay ◽  
The Stability ◽  
Autonomous Differential Equations

We consider a system of linear autonomous differential equations with bounded delay in the case when its characteristic function depends linearly on one scalar parameter. The application of the D-subdivision method to the problem of constructing the stability region for this equation was developed.

STABILITY AND BOUNDEDNESS BEHAVIOUR OF SOLUTIONS OF A CERTAIN SECOND ORDER NON-AUTONOMOUS DIFFERENTIAL EQUATIONS

2021 ◽  
Vol 10 (9) ◽  
pp. 3129-3140
Author(s):  
A.L. Olutimo ◽  
O.M. Akinmoladun ◽  
D.L. Enosegbe
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Boundedness Of Solutions ◽  
Ultimate Boundedness ◽  
The Stability ◽  
Autonomous Differential Equations

In this paper, we give sufficient conditions for the stability and ultimate boundedness of solutions to a certain second order non-autonomous differential equations with damped and forced functions. Our results improve and extend some of the stability and boundedness results in the literature which themselves are extensions of some results cited therein. We give example to illustrate the result obtained.

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.

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