×

On some Gronwall-Bihari-Wendorff-type inequalities. (English) Zbl 1136.26304

Summary: This paper presents certain considerations on some lemmas of Gronwall-Bihari-Wendroff type, which follow from the abstract Gronwall lemma for Picard operators.

MSC:

26D15 Inequalities for sums, series and integrals
54H25 Fixed-point and coincidence theorems (topological aspects)
34A40 Differential inequalities involving functions of a single real variable
35L70 Second-order nonlinear hyperbolic equations
35R45 Partial differential inequalities and systems of partial differential inequalities
47H04 Set-valued operators