On the stability of the solutions of second order differential equations with periodic coefficients

1974 ◽  
Vol 25 (3) ◽  
pp. 285-291 ◽  
Author(s):  
F. M. Dannan
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Periodic Coefficients ◽  
Second Order Differential Equations ◽  
The Stability

scholarly journals Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients

2017 ◽  
Vol 15 (1) ◽  
pp. 548-561 ◽  
Author(s):  
Adil Misir ◽  
Banu Mermerkaya
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Common Multiple ◽  
Periodic Coefficients ◽  
Least Common Multiple ◽  
Second Order Differential Equations ◽  
Positive Coefficients ◽  
Oscillation Constant ◽  
Oscillation And Nonoscillation

Abstract In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with α—periodic positive coefficients. Additionally, our result is new and original in case that the least common multiple of these periods is not defined. We give an example and corollaries which illustrate cases that are solved with our result.

scholarly journals Hyers–Ulam stability of second-order differential equations using Mahgoub transform

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Antony Raj Aruldass ◽  
Divyakumari Pachaiyappan ◽  
Choonkil Park
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
New Method ◽  
Ulam Stability ◽  
Second Order Differential Equations ◽  
The Stability

AbstractThe aim of this research is investigating the Hyers–Ulam stability of second-order differential equations. We introduce a new method of investigation for the stability of differential equations by using the Mahgoub transform. This is the first attempt of the investigation of Hyers–Ulam stability by using Mahgoub transform. We deal with both homogeneous and nonhomogeneous second-order differential equations.

Dynamic Stability of a Pendulous Missile Suspension System

1962 ◽  
Vol 29 (2) ◽  
pp. 276-282
Author(s):  
V. Chobotov
Keyword(s):  
Differential Equations ◽  
Dynamic Stability ◽  
Periodic Coefficient ◽  
Suspension System ◽  
Second Order ◽  
Stability Criteria ◽  
Parametrically Excited ◽  
Second Order Differential Equations ◽  
The Stability

The stability criteria for a missile on a pendulous support are derived for the case of parametrically excited motions of the support. The suspension system is described by two linear second-order differential equations with a periodic coefficient. The analysis is carried out by means of the first method of Liapunov. The results are somewhat modified, however, to obtain greater generality without which the technique is too laborious to be useful.

Banach Lie Algebroids

2011 ◽  
Vol 57 (2) ◽  
pp. 409-416
Author(s):  
Mihai Anastasiei
Keyword(s):  
Differential Equations ◽  
Smooth Manifold ◽  
Vector Bundles ◽  
Second Order ◽  
Lie Algebroids ◽  
Second Order Differential Equations

Banach Lie AlgebroidsFirst, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie algebroids structures modeled on anchored Banach vector bundles and prove that they form a category.

scholarly journals New oscillation criteria for second-order neutral differential equations with distributed deviating arguments

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Osama Moaaz ◽  
Choonkil Park ◽  
Elmetwally M. Elabbasy ◽  
Waed Muhsin
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
The Other ◽  
Riccati Transformation ◽  
Transformation Technique ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Second Order Differential Equations ◽  
Continuous Delay ◽  
New Criteria

AbstractIn this work, we create new oscillation conditions for solutions of second-order differential equations with continuous delay. The new criteria were created based on Riccati transformation technique and comparison principles. Furthermore, we obtain iterative criteria that can be applied even when the other criteria fail. The results obtained in this paper improve and extend the relevant previous results as illustrated by examples.

Sign in / Sign up

Export Citation Format

Share Document