Optimal and Nonoptimal Gronwall Lemmas

Optimal and Nonoptimal Gronwall Lemmas

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 i...

Full description

Bibliographic Details
Main Authors: Daniela Marian, Sorina Anamaria Ciplea, Nicolaie Lungu
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Symmetry
Subjects:
optimal Gronwall lemma
abstract Gronwall lemma
Picard operators
optimal Riccati type inequality
optimal Bihari type inequality
Wendorf type inequality
Online Access:https://www.mdpi.com/2073-8994/12/10/1728
Description
Summary: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.
ISSN:2073-8994

Similar Items