On Some Pachpatte-Type Dynamic Inequalities and Their Applications

• Mahmoud M. Osman ^[1] ; Samir H. Saker ^[3] ; Douglas R. Anderson ^[2]
  1. [1] Mansoura University

     Mansoura University

     Egipto

     
  2. [2] Concordia College

     Concordia College

     City of Moorhead, Estados Unidos

     
  3. [3] Mansoura University, New Mansoura University

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 3, 2025
• Idioma: inglés
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  • In this paper, using the comparison theorem on time scales and some elementary algebraic inequalities, we introduce a new class of generalizations of Pachpatte-type inequalities and their extensions on time scales, which provide explicit bounds on unknown functions. Some applications of the main results for specific nonlinear dynamic equations are given at the end of this paper.