The Solution of Self-Adjoint Euler-Cauchy Operator-Differential Equation.
Saved in:
| Title: | The Solution of Self-Adjoint Euler-Cauchy Operator-Differential Equation. |
|---|---|
| Authors: | Ahmed, Abdel Baset I.1 abdel2007@yandex.ru, Labeeb, Mohamed A.2 m.labeeb85@yahoo.com |
| Source: | IAENG International Journal of Applied Mathematics. May2025, Vol. 55 Issue 5, p1146-1151. 6p. |
| Subjects: | Differential forms, Differential equations, Selfadjoint operators, Operator equations, Exponential functions |
| Abstract: | The topics concerning the solution of differential equations with variable coefficients attracts the interest of numerous academics. We investigate the non-homogeneous thirdorder self-adjoint Euler-Cauchy operator-differential equation for the first time. The Laplace transform method is applied in this study to determine the general solution of the self-adjoint Euler-Cauchy problem. We demonstrated the effectiveness of this approach in solving the self-adjoint Cauchy-Euler differential equation in the form of the exponential functions. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 185015075 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: The Solution of Self-Adjoint Euler-Cauchy Operator-Differential Equation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ahmed%2C+Abdel+Baset+I%2E%22">Ahmed, Abdel Baset I.</searchLink><relatesTo>1</relatesTo><i> abdel2007@yandex.ru</i><br /><searchLink fieldCode="AR" term="%22Labeeb%2C+Mohamed+A%2E%22">Labeeb, Mohamed A.</searchLink><relatesTo>2</relatesTo><i> m.labeeb85@yahoo.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. May2025, Vol. 55 Issue 5, p1146-1151. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Differential+forms%22">Differential forms</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%22">Differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Selfadjoint+operators%22">Selfadjoint operators</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+equations%22">Operator equations</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+functions%22">Exponential functions</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The topics concerning the solution of differential equations with variable coefficients attracts the interest of numerous academics. We investigate the non-homogeneous thirdorder self-adjoint Euler-Cauchy operator-differential equation for the first time. The Laplace transform method is applied in this study to determine the general solution of the self-adjoint Euler-Cauchy problem. We demonstrated the effectiveness of this approach in solving the self-adjoint Cauchy-Euler differential equation in the form of the exponential functions. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=185015075 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 1146 Subjects: – SubjectFull: Differential forms Type: general – SubjectFull: Differential equations Type: general – SubjectFull: Selfadjoint operators Type: general – SubjectFull: Operator equations Type: general – SubjectFull: Exponential functions Type: general Titles: – TitleFull: The Solution of Self-Adjoint Euler-Cauchy Operator-Differential Equation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ahmed, Abdel Baset I. – PersonEntity: Name: NameFull: Labeeb, Mohamed A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 55 – Type: issue Value: 5 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
| ResultId | 1 |
