Boundary Value Problems (Feb 2020)

Certain new dynamic nonlinear inequalities in two independent variables and applications

  • A. A. El-Deeb,
  • Zareen A. Khan

DOI
https://doi.org/10.1186/s13661-020-01338-z
Journal volume & issue
Vol. 2020, no. 1
pp. 1 – 19

Abstract

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Abstract 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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