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Medientyp:
E-Artikel
Titel:
Certain Novel Dynamic Inequalities Applicable in the Theory of Retarded Dynamic Equations and Their Applications
Beteiligte:
Bhamre, Sujata;
Kale, Nagesh;
Kendre, Subhash;
Peters, James
Erschienen:
MDPI AG, 2024
Erschienen in:
Mathematics, 12 (2024) 3, Seite 406
Sprache:
Englisch
DOI:
10.3390/math12030406
ISSN:
2227-7390
Entstehung:
Anmerkungen:
Beschreibung:
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.