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12748

Many Types of Stability of Abstract First and Second Order Linear Dynamic Equations on Time Scales

Article

Last updated: 03 Jan 2025

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Abstract

In this paper we investigate sufficient conditions for many types of stability of both of the abstract first order linear dynamic equations on time scales of the form   and the second order linear dynamic equations of the form   Where , the space of all bounded linear operators from a Banachspace 𝕏 into itself, and  is rd–continuous from a time scale 𝕋to 𝕏. Some givenillustrative examples show the applicability of the main results. Mathematics Subject Classifications:26E70, 34N05, 34K20, 39A30.  

DOI

10.21608/jsrs.2018.12748

Keywords

Time scales, Linear dynamic equations, Stability theory

Authors

First Name

Alaa

Last Name

Hamza

MiddleName

E.

Affiliation

Department of Mathematics, Faculty of science, University of Jeddah, Jeddah, 21589, Saudi Arabia Cairo University, Department of Mathematics, Giza, Egypt

Email

hamzaaeg2003@yahoo.com

City

-

Orcid

-

First Name

Gamal .

Last Name

Ismail

MiddleName

A.F.

Affiliation

Department of Mathematics, Faculty of Girls, Ain Shams University, Cairo, Egypt

Email

gam_ismail@yahoo.com

City

-

Orcid

-

First Name

Dina

Last Name

Ahmed

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Girls, Ain Shams University, Cairo, Egypt

Email

dina.ahmed234@yahoo.com

City

-

Orcid

-

Volume

34

Article Issue

part1

Related Issue

2422

Issue Date

2017-09-01

Receive Date

2018-09-06

Publish Date

2017-09-01

Page Start

19

Page End

32

Print ISSN

2356-8364

Online ISSN

2356-8372

Article File

JSRS_Volume 34_Issue part1_Pages 19-32.pdf

PDF . 713.6kB

Link

https://jsrs.journals.ekb.eg/article_12748.html

Detail API

https://jsrs.journals.ekb.eg/service?article_code=12748

Order

2

Type

Original Article

Type Code

656

Publication Type

Journal

Publication Title

Journal of Scientific Research in Science

Publication Link

https://jsrs.journals.ekb.eg/

MainTitle

Many Types of Stability of Abstract First and Second Order Linear Dynamic Equations on Time Scales

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Type

Article

Created At

22 Jan 2023