On the qualitative behaviors of stochastic delay integro-differential equations of second order
Abstract In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE). To demonstrate the main results, we employ a Lyapunov functional. An example is p...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03085-6 |
| _version_ | 1827309934063124480 |
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| author | Ayman M. Mahmoud Cemil Tunç |
| author_facet | Ayman M. Mahmoud Cemil Tunç |
| author_sort | Ayman M. Mahmoud |
| collection | DOAJ |
| description | Abstract In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE). To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature. |
| first_indexed | 2024-04-24T19:50:40Z |
| format | Article |
| id | doaj.art-6a23728c444c4e83b21a5f0e1fa7ef79 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-24T19:50:40Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-6a23728c444c4e83b21a5f0e1fa7ef792024-03-24T12:37:02ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-03-012024111410.1186/s13660-024-03085-6On the qualitative behaviors of stochastic delay integro-differential equations of second orderAyman M. Mahmoud0Cemil Tunç1Department of Mathematics, Faculty of Science, New Valley UniversityDepartment of Mathematics, Faculty of Science, Van Yuzuncu Yil UniversityAbstract In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE). To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature.https://doi.org/10.1186/s13660-024-03085-6StabilityContinuityBoundednessStochastic delayIntegro-differential equationLyapunov functional |
| spellingShingle | Ayman M. Mahmoud Cemil Tunç On the qualitative behaviors of stochastic delay integro-differential equations of second order Journal of Inequalities and Applications Stability Continuity Boundedness Stochastic delay Integro-differential equation Lyapunov functional |
| title | On the qualitative behaviors of stochastic delay integro-differential equations of second order |
| title_full | On the qualitative behaviors of stochastic delay integro-differential equations of second order |
| title_fullStr | On the qualitative behaviors of stochastic delay integro-differential equations of second order |
| title_full_unstemmed | On the qualitative behaviors of stochastic delay integro-differential equations of second order |
| title_short | On the qualitative behaviors of stochastic delay integro-differential equations of second order |
| title_sort | on the qualitative behaviors of stochastic delay integro differential equations of second order |
| topic | Stability Continuity Boundedness Stochastic delay Integro-differential equation Lyapunov functional |
| url | https://doi.org/10.1186/s13660-024-03085-6 |
| work_keys_str_mv | AT aymanmmahmoud onthequalitativebehaviorsofstochasticdelayintegrodifferentialequationsofsecondorder AT cemiltunc onthequalitativebehaviorsofstochasticdelayintegrodifferentialequationsofsecondorder |