New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays
Abstract The distance between consecutive zeros of a first-order differential equation with several variable delays is studied. Here, we show that the distribution of zeros of differential equations with variable delays is not an easy extension of the case of constant delays. We obtain new upper bou...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-03017-w |
| _version_ | 1827707772283650048 |
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| author | Emad R. Attia Bassant M. El-Matary |
| author_facet | Emad R. Attia Bassant M. El-Matary |
| author_sort | Emad R. Attia |
| collection | DOAJ |
| description | Abstract The distance between consecutive zeros of a first-order differential equation with several variable delays is studied. Here, we show that the distribution of zeros of differential equations with variable delays is not an easy extension of the case of constant delays. We obtain new upper bounds for the distance between zeros of all solutions of a differential equation with several delays, which extend and improve some existing results. Two illustrative examples are given to show the advantages of the proposed results over the known ones. |
| first_indexed | 2024-03-10T16:52:18Z |
| format | Article |
| id | doaj.art-da60be8d6e434aa992009f2d02f4971e |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-03-10T16:52:18Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-da60be8d6e434aa992009f2d02f4971e2023-11-20T11:16:19ZengSpringerOpenJournal of Inequalities and Applications1029-242X2023-08-012023111210.1186/s13660-023-03017-wNew results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delaysEmad R. Attia0Bassant M. El-Matary1Department of Mathematics, College of Sciences and Humanities, Prince Sattam Bin Abdulaziz UniversityDepartment of Mathematics, College of Science and Arts, Al-Badaya, Qassim UniversityAbstract The distance between consecutive zeros of a first-order differential equation with several variable delays is studied. Here, we show that the distribution of zeros of differential equations with variable delays is not an easy extension of the case of constant delays. We obtain new upper bounds for the distance between zeros of all solutions of a differential equation with several delays, which extend and improve some existing results. Two illustrative examples are given to show the advantages of the proposed results over the known ones.https://doi.org/10.1186/s13660-023-03017-wDifferential equationsVariable delaysDistance between zerosOscillation |
| spellingShingle | Emad R. Attia Bassant M. El-Matary New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays Journal of Inequalities and Applications Differential equations Variable delays Distance between zeros Oscillation |
| title | New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays |
| title_full | New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays |
| title_fullStr | New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays |
| title_full_unstemmed | New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays |
| title_short | New results for the upper bounds of the distance between adjacent zeros of first-order differential equations with several variable delays |
| title_sort | new results for the upper bounds of the distance between adjacent zeros of first order differential equations with several variable delays |
| topic | Differential equations Variable delays Distance between zeros Oscillation |
| url | https://doi.org/10.1186/s13660-023-03017-w |
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