Rus, Ioan A. Gronwall lemmas: ten open problems. (English) Zbl 1223.47064 Sci. Math. Jpn. 70, No. 2, 221-228 (2009). 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. Reviewer: Yongxiang Li (Lanzhou) Cited in 2 ReviewsCited in 20 Documents 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 Keywords:abstract Gronwall lemma; concrete Gronwall lemma; integral inequality; differential inequality PDFBibTeX XMLCite \textit{I. A. Rus}, Sci. Math. Jpn. 70, No. 2, 221--228 (2009; Zbl 1223.47064) Full Text: Link