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- Title
Certain Novel Dynamic Inequalities Applicable in the Theory of Retarded Dynamic Equations and Their Applications.
- Authors
Bhamre, Sujata; Kale, Nagesh; Kendre, Subhash; Peters, James
- Abstract
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.
- Subjects
NONLINEAR integral equations; INTEGRAL equations; INTEGRAL inequalities; EQUATIONS
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 3, p406
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12030406