Beta
ManageSearchChatDiscover
383510

Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation

Article

Last updated: 05 Jan 2025

OverviewSimilar Items

Subjects

-

Tags

-

Abstract

In this study, we establish existence-uniqueness of a vector function in appropriate
Sobolev-type space for a boundary value problem of a fifth-order operator differential
equation. Proper conditions are obtained for the given problem to be well-posed.
Much effort is devoted to develop the association between these conditions and the
operator coefficients of the investigated equation. In this paper, accurate estimates of
the norms of the intermediate derivatives operators are presented and used to
determine the solvability conditions.
 

DOI

10.1186/s42787-019-0036-7

Keywords

Initial-boundary value problems, Operator-differential equation, Self-adjoint operator, Intermediate derivative operator

Authors

First Name

Nashat

Last Name

Faried

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

Labib

Last Name

Rashed

MiddleName

-

Affiliation

-

Email

-

City

-

Orcid

-

First Name

Abdel Baset

Last Name

Ahmed

MiddleName

I.

Affiliation

Helwan University, 11865 Cairo, Egypt

Email

-

City

-

Orcid

-

First Name

Mohamed

Last Name

Labeeb

MiddleName

A.

Affiliation

-

Email

-

City

-

Orcid

-

Volume

27

Article Issue

1

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-10-02

Publish Date

2019-12-01

Page Start

1

Page End

7

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 27_Issue 1_Pages 1-7.pdf

PDF . 451.0kB

Link

https://joems.journals.ekb.eg/article_383510.html

Detail API

https://joems.journals.ekb.eg/service?article_code=383510

Order

383,510

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation

Details

Type

Article

Created At

21 Dec 2024