Some linear and nonlinear integral inequalities on time scales in two independent variables

Mathematics – Classical Analysis and ODEs

Scientific paper

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Keywords: integral inequalities; Gronwall-Bellman-Bihari inequalities; time scales; two independent variables

Scientific paper

We establish some linear and nonlinear integral inequalities of
Gronwall-Bellman-Bihari type for functions with two independent variables on
general time scales. The results are illustrated with examples, obtained by
fixing the time scales to concrete ones. An estimation result for the solution
of a partial delta dynamic equation is given as an application.

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