On Some Pachpatte-Type Dynamic Inequalities and Their Applications

被引：0
作者：
Osman, Mahmoud M. [1 ]
Saker, Samir H. [1 ,2 ]
Anderson, Douglas R. [3 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] New Mansoura Univ, Fac Sci, Dept Math, New Mansoura City, Egypt
[3] Concordia Coll, Dept Math, Moorhead, MN 56562 USA
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2025年 / 24卷 / 03期
关键词：
Pachpatte-type inequalities; Gronwall inequality; Dynamic inequality; Dynamic equation; Time scales; TIME SCALES;
D O I：
10.1007/s12346-025-01287-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：24
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