Open AccessSome generalizations of delay integral inequalities of Gronwall-Bellman type with power and their applications
Author(s) -
Haoyue Song,
Fanwei Meng
Publication year - 2022
Publication title -
mathematical foundations of computing
Language(s) - English
Resource type - Journals
ISSN - 2577-8838
DOI - 10.3934/mfc.2021022
Subject(s) - mathematics , uniqueness , inequality , gronwall's inequality , type (biology) , stability (learning theory) , integral equation , power (physics) , differential (mechanical device) , mathematical analysis , calculus (dental) , computer science , medicine , ecology , physics , dentistry , quantum mechanics , machine learning , engineering , biology , aerospace engineering
Noting the diverse generalizations of the Gronwall-Bellman inequality, this paper investigates some new delay integral inequalities with power, deriving explicit bound on the solution and providing an example. The inequalities given here can act as powerful tools for studying qualitative properties such as existence, uniqueness, boundedness, stability and asymptotics of solutions of differential and integral equations.