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Gronwall lemmas: ten open problems. (English) Zbl 1223.47064
The paper presents ten research problems concerning Gronwall lemmas. These problems are in relation with: concrete Gronwall lemmas, abstract Gronwall lemmas, techniques of proof in concrete Gronwall lemmas, Picard and weakly Picard operator theory, operatorial inequations, differential inequalities, integral inequalities, and applications of Gronwall lemmas.

MSC:
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
45G10 Other nonlinear integral equations
34A40 Differential inequalities involving functions of a single real variable
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