| Autor: |
Graef John R., Tunç Cemil, Şengun Merve, Tunç Osman |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Nonautonomous Dynamical Systems, Vol 10, Iss 1, Pp 340-346 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2353-0626 |
| DOI: |
10.1515/msds-2022-0169 |
| Popis: |
In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays. In addition to giving some new theorems on the existence and uniqueness of solutions to the equation, the authors also prove the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the equation. The proofs use several different tools including Banach’s fixed point theorem, the construction of a Picard operator, and an application of Pachpatte’s inequality. An example is provided to illustrate the existence, uniqueness, and stability properties of solutions. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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