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369760

On the oscillation of bounded solutions of higher order nonlinear neutral delay differential equations with oscillating coefficients

Article

Last updated: 29 Dec 2024

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Abstract

In this paper, new sufficient conditions are established for the oscillation of all bounded solutions of higher order dynamic
equations 
[ ( )( ( )) ] ( ) ( ( ( ))) = 0 for [ , ) ,
0
1
   T
  
r t z t q t f x t t t
n


where 
z(t):= x(t)  p(t)x( (t))
and 
  0
is a constant. The obtained results extend and supplement certain known 
results in literature. .

DOI

10.21608/jbes.2018.369760

Keywords

oscillation, Higher order, Nonlinear dynamic equations, Riccati technique, Taylors formula

Authors

First Name

M. M. A.

Last Name

El-sheikh

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Menoufia University, Shebeen EL-Koom, Egypt

Email

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City

-

Orcid

-

First Name

A. A.

Last Name

Soliman

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubia 13518, Egypt

Email

-

City

-

Orcid

-

First Name

M. H.

Last Name

Abdalla

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Menoufia University, Shebeen EL-Koom, Egypt

Email

-

City

-

Orcid

-

First Name

A. M.

Last Name

Hassan

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubia 13518, Egypt

Email

-

City

-

Orcid

-

Volume

5

Article Issue

1

Related Issue

49458

Issue Date

2018-01-01

Receive Date

2024-07-28

Publish Date

2018-01-01

Page Start

44

Page End

51

Print ISSN

2536-9202

Online ISSN

2356-6388

Article File

JBES_Volume 5_Issue 1_Pages 44-51.pdf

PDF . 585.3kB

Link

https://jbes.journals.ekb.eg/article_369760.html

Detail API

https://jbes.journals.ekb.eg/service?article_code=369760

Order

369,760

Type

Original Article

Type Code

3,063

Publication Type

Journal

Publication Title

Journal of Basic and Environmental Sciences

Publication Link

https://jbes.journals.ekb.eg/

MainTitle

On the oscillation of bounded solutions of higher order nonlinear neutral delay differential equations with oscillating coefficients

Details

Type

Article

Created At

21 Dec 2024