GRONWALL BELLMAN 2022.pdf
1. Introduction. In recent years, many scholars have studied the Gronwall- Bellman inequality and its applications[1-15]. In [5], Gronwall established the well- known Gronwall inequality. In [10], Pachpatte extended this to nonlinear forms. In [7-9], some scholars studied the retarded integral inequalities. In [11-15], a variety of generalizations have been researched by many scholars. In particular, a recent paper [9] established a class of delay integral inequality (see (1.1)). In [12], some retarded integral inequalities with power were investigated (see (1.2) and (1.3)).
1. Introduction. In recent years, many scholars have studied the Gronwall-
Bellman inequality and its applications[1-15]. In [5], Gronwall established the well-
known Gronwall inequality. In [10], Pachpatte extended this to nonlinear forms. In
[7-9], some scholars studied the retarded integral inequalities. In [11-15], a variety
of generalizations have been researched by many scholars. In particular, a recent
paper [9] established a class of delay integral inequality (see (1.1)). In [12], some
retarded integral inequalities with power were investigated (see (1.2) and (1.3)).
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