Characterizing Function Behavior: Exponential Decay, Monotonicity, and Boundedness Through Schwarzian and Differential Inequalities.
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| Title: | Characterizing Function Behavior: Exponential Decay, Monotonicity, and Boundedness Through Schwarzian and Differential Inequalities. |
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| Authors: | Tarek, Bahloul1 bahloul.tarek@univguelma.dz |
| Source: | IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2728-2738. 11p. |
| Subjects: | Differential inequalities, Functional equations, Monotonic functions, Exponential decay law, Dynamical systems, Differential invariants |
| Abstract: | We construct a positive unimodal function g(t) satisfying the functional relationguarantees that g(t) possesses a negative Schwarzian derivative. This study provides new insights into the structural properties of such functions and their interdependencies, with direct implications for the analysis of differential equations and dynamical systems. The framework developed here offers a systematic approach for generating novel classes of functional equations, thereby advancing both theoretical understanding and potential applications in mathematical modeling. [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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 195026905 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Characterizing Function Behavior: Exponential Decay, Monotonicity, and Boundedness Through Schwarzian and Differential Inequalities. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Tarek%2C+Bahloul%22">Tarek, Bahloul</searchLink><relatesTo>1</relatesTo><i> bahloul.tarek@univguelma.dz</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>. Jul2026, Vol. 56 Issue 7, p2728-2738. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Differential+inequalities%22">Differential inequalities</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+equations%22">Functional equations</searchLink><br /><searchLink fieldCode="DE" term="%22Monotonic+functions%22">Monotonic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+decay+law%22">Exponential decay law</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamical+systems%22">Dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+invariants%22">Differential invariants</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We construct a positive unimodal function g(t) satisfying the functional relationguarantees that g(t) possesses a negative Schwarzian derivative. This study provides new insights into the structural properties of such functions and their interdependencies, with direct implications for the analysis of differential equations and dynamical systems. The framework developed here offers a systematic approach for generating novel classes of functional equations, thereby advancing both theoretical understanding and potential applications in mathematical modeling. [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=195026905 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 2728 Subjects: – SubjectFull: Differential inequalities Type: general – SubjectFull: Functional equations Type: general – SubjectFull: Monotonic functions Type: general – SubjectFull: Exponential decay law Type: general – SubjectFull: Dynamical systems Type: general – SubjectFull: Differential invariants Type: general Titles: – TitleFull: Characterizing Function Behavior: Exponential Decay, Monotonicity, and Boundedness Through Schwarzian and Differential Inequalities. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Tarek, Bahloul IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 7 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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