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Keywords = optimal Bihari type inequality

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10 pages, 283 KiB  
Article
Optimal and Nonoptimal Gronwall Lemmas
by Daniela Marian, Sorina Anamaria Ciplea and Nicolaie Lungu
Symmetry 2020, 12(10), 1728; https://doi.org/10.3390/sym12101728 - 19 Oct 2020
Cited by 4 | Viewed by 1803
Abstract
In this paper, we study some optimal inequalities of the Riccati type and of the Bihari type. We also consider nonoptimal inequalities of the Wendorf type. At the same time, we get a partial answer to Problems 5 and 9, formulated by I. [...] Read more.
In this paper, we study some optimal inequalities of the Riccati type and of the Bihari type. We also consider nonoptimal inequalities of the Wendorf type. At the same time, we get a partial answer to Problems 5 and 9, formulated by I. A. Rus. This paper is also motivated by the fact that, in many inequalities, the upper bound is not an optimal one. Full article
(This article belongs to the Section Mathematics)
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