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226977

New Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with a Nonpositive Neutral Term on Time Scales

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Last updated: 28 Dec 2024

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Abstract

n this paper, we investigate the oscillatory behavior of solutions of a class of second order nonlinear neutral delay dynamic
equations with nonpositive coefficient
[𝑟(𝑡)(𝑧Δ(𝑡))𝛼]Δ + 𝑞(𝑡)𝑥𝛽(𝛿(𝑡)) = 0,
where 𝛼 ≥ 𝛽 are ratios of odd positive integers and 𝑧(𝑡): = 𝑥(𝑡) - 𝑝(𝑡)𝑥(𝜏(𝑡)). The obtained result not only new but also
answered the question that introduced by Li [12].

DOI

10.21608/bjas.2020.226977

Keywords

Second order, Nonlinear dynamic equations, oscillation, Riccati transformation

Authors

First Name

A.A.

Last Name

Soliman

MiddleName

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Affiliation

Mathematics Dept., Faculty of Science, Benha Univ., Benha, Egypt

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First Name

A.M.

Last Name

Hassan

MiddleName

-

Affiliation

Mathematics Dept., Faculty of Science, Benha Univ., Benha, Egypt

Email

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City

-

Orcid

-

First Name

S.E.

Last Name

Affan

MiddleName

-

Affiliation

Mathematics Dept., Faculty of Science, Benha Univ., Benha, Egypt

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Volume

5

Article Issue

Issue 7 part (1) - (2)

Related Issue

20337

Issue Date

2020-10-01

Receive Date

2020-10-25

Publish Date

2020-10-01

Page Start

183

Page End

187

Print ISSN

2356-9751

Online ISSN

2356-976X

Article File

BJAS_Volume 5_Issue Issue 7 part (1) - (2)_Pages 183-187.pdf

PDF . 321.1kB

Link

https://bjas.journals.ekb.eg/article_226977.html

Detail API

https://bjas.journals.ekb.eg/service?article_code=226977

Order

30

Type

Original Research Papers

Type Code

1,647

Publication Type

Journal

Publication Title

Benha Journal of Applied Sciences

Publication Link

https://bjas.journals.ekb.eg/

MainTitle

New Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with a Nonpositive Neutral Term on Time Scales

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Article

Created At

23 Jan 2023