دورية أكاديمية
Certain Novel Dynamic Inequalities Applicable in the Theory of Retarded Dynamic Equations and Their Applications
| العنوان: | Certain Novel Dynamic Inequalities Applicable in the Theory of Retarded Dynamic Equations and Their Applications |
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| المؤلفون: | Sujata Bhamre, Nagesh Kale, Subhash Kendre, James Peters |
| المصدر: | Mathematics, Vol 12, Iss 3, p 406 (2024) |
| بيانات النشر: | MDPI AG, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | retarded dynamic inequality, dynamic equations, Pachpatte inequalities, time scales, Mathematics, QA1-939 |
| الوصف: | In this article, we establish certain time-scale-retarded dynamic inequalities that contain nonlinear retarded integral equations on various time scales. These inequalities extend and generalize some significant inequalities existing in the literature to their more general forms. The qualitative and quantitative characteristics of solutions to various dynamic equations on time scales involving retarded integrals can be studied using these inequalities. The results presented in this manuscript furnish a powerful tool to analyze the boundedness of nonlinear integral equations with retarded integrals on several time scales. In the end, we also include numerical illustrations to signify the applicability of these results to power nonlinear retarded integral equations on real and quantum time scales. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 12030406 2227-7390 |
| Relation: | https://www.mdpi.com/2227-7390/12/3/406; https://doaj.org/toc/2227-7390 |
| DOI: | 10.3390/math12030406 |
| URL الوصول: | https://doaj.org/article/b82ebfa442f3408488b59d9f711580d7 |
| رقم الأكسشن: | edsdoj.b82ebfa442f3408488b59d9f711580d7 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 12030406 22277390 |
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| DOI: | 10.3390/math12030406 |