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Certain new dynamic nonlinear inequalities in two independent variables and applications
Journal article   Open access  Peer reviewed

Certain new dynamic nonlinear inequalities in two independent variables and applications

A. A. El-Deeb and Zareen A. Khan
Boundary value problems, Vol.2020(1), pp.1-19
12/02/2020
DOI: https://doi.org/10.1186/s13661-020-01338-z

Abstract

Analysis Approximations and Expansions Difference and Functional Equations general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
Several inequalities were proved in 2018 by Boudeliou, in 2015 by Abdeldain and El-Deeb and in 1998 by Pachpatte. It is our aim in this paper to generalize these inequalities to time scales. Beside that, we also apply our inequalities to discrete and continuous calculus to obtain some new inequalities as special cases. Furthermore, we study the boundedness of some problems by applying our results.
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https://doi.org/10.1186/s13661-020-01338-zView
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