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On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation

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Last updated: 31 Dec 2024

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Abstract

In this paper, we investigate some new nonlinear retarded integral inequalities of Gronwall–Bellman–Pachpatte type. These inequalities generalize some former famous inequalities and
can be used as handy tools to study the qualitative as well as the quantitative properties of solutions
of some nonlinear retarded differential and integral equations. An application is also presented to
illustrate the usefulness of some of our results in estimation of solution of certain retarded nonlinear
differential equations with the initial conditions.

DOI

10.1016/j.joems.2014.12.001

Keywords

KEYWORDS Integral inequality, Analysis technique, Estimation, Retarded integral and differential equation

Authors

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A.

Last Name

Abdeldaim

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Affiliation

Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt , Department of Mathematics, Faculty of Science and Humanities, Shaqra University, Dawadmi, Saudi Arabia

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First Name

A.A.

Last Name

El-Deeb

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Affiliation

Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt

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Volume

23

Article Issue

3

Related Issue

50853

Issue Date

2015-10-01

Receive Date

2024-10-07

Publish Date

2015-10-01

Page Start

470

Page End

475

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 3_Pages 470-475.pdf

PDF . 461.5kB

Link

https://joems.journals.ekb.eg/article_384516.html

Detail API

https://joems.journals.ekb.eg/service?article_code=384516

Order

384,516

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

On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation

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Type

Article

Created At

21 Dec 2024