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381085

Convergence to non-autonomous differential equations of second order

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Last updated: 05 Jan 2025

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Abstract

In this paper, we consider a non-autonomous differential equation of second order
x00 þ mðtÞfðx0
Þ þ nðtÞgðxÞ ¼ pðt; x; x0
Þ:
By the Lyapunov function approach, we discuss the convergence of solutions of the equation
considered. Our findings generalize some earlier results in the literature.

DOI

10.1016/j.joems.2014.02.009

Keywords

Convergence of solutions, Nonautonmous, Second order, Differential Equation, Routh–Hurwitz interval, Lyapunov Functions

Authors

First Name

Erdal

Last Name

Korkmaz

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Arts and Sciences, Mus Alparslan University, 49100 Mus, Turkey

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City

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Orcid

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First Name

Cemil

Last Name

Tunc

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Arts and Sciences, Mus Alparslan University, 49100 Mus, Turkey

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Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-22

Publish Date

2015-04-01

Page Start

27

Page End

30

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 27-30.pdf

PDF . 417.6kB

Link

https://joems.journals.ekb.eg/article_381085.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381085

Order

381,085

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Convergence to non-autonomous differential equations of second order

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Article

Created At

21 Dec 2024