Existence and Exponential Estimate of Solutions to Stochastic Neutral Functional Differential Equations with Infinite Delay Driven by G-Brownian Motion.
Saved in:
| Title: | Existence and Exponential Estimate of Solutions to Stochastic Neutral Functional Differential Equations with Infinite Delay Driven by G-Brownian Motion. |
|---|---|
| Authors: | Hu, Ling1 (AUTHOR) 420538362@qq.com, Wang, Lianglong2 (AUTHOR) |
| Source: | International Journal of High Speed Electronics & Systems. Oct2026, Vol. 35 Issue 5, p1-13. 13p. |
| Subjects: | Stochastic differential equations, Functional differential equations, Brownian motion, Stochastic integrals, Exponential stability, Uniqueness (Mathematics), Iterative methods (Mathematics) |
| Abstract: | The paper is concerned with the uniqueness, existence and exponential estimate of solutions to stochastic neutral functional differential equations with infinite delay caused by G -Brownian motion. Under some conditions, the result is obtained by using stochastic integral inequalities and Picard iterations. In addition, the exponential estimate of solutions is established by the properties of G -expectation and Grönwall inequality. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of High Speed Electronics & Systems is the property of World Scientific Publishing Company 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 | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 193950394 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Existence and Exponential Estimate of Solutions to Stochastic Neutral Functional Differential Equations with Infinite Delay Driven by G-Brownian Motion. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Hu%2C+Ling%22">Hu, Ling</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> 420538362@qq.com</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Lianglong%22">Wang, Lianglong</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+High+Speed+Electronics+%26+Systems%22">International Journal of High Speed Electronics & Systems</searchLink>. Oct2026, Vol. 35 Issue 5, p1-13. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Stochastic+differential+equations%22">Stochastic differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+differential+equations%22">Functional differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Brownian+motion%22">Brownian motion</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+integrals%22">Stochastic integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+stability%22">Exponential stability</searchLink><br /><searchLink fieldCode="DE" term="%22Uniqueness+%28Mathematics%29%22">Uniqueness (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The paper is concerned with the uniqueness, existence and exponential estimate of solutions to stochastic neutral functional differential equations with infinite delay caused by G -Brownian motion. Under some conditions, the result is obtained by using stochastic integral inequalities and Picard iterations. In addition, the exponential estimate of solutions is established by the properties of G -expectation and Grönwall inequality. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of High Speed Electronics & Systems is the property of World Scientific Publishing Company 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=193950394 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0129156425407107 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 1 Subjects: – SubjectFull: Stochastic differential equations Type: general – SubjectFull: Functional differential equations Type: general – SubjectFull: Brownian motion Type: general – SubjectFull: Stochastic integrals Type: general – SubjectFull: Exponential stability Type: general – SubjectFull: Uniqueness (Mathematics) Type: general – SubjectFull: Iterative methods (Mathematics) Type: general Titles: – TitleFull: Existence and Exponential Estimate of Solutions to Stochastic Neutral Functional Differential Equations with Infinite Delay Driven by G-Brownian Motion. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Hu, Ling – PersonEntity: Name: NameFull: Wang, Lianglong IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 01291564 Numbering: – Type: volume Value: 35 – Type: issue Value: 5 Titles: – TitleFull: International Journal of High Speed Electronics & Systems Type: main |
| ResultId | 1 |
