A new class of nonlinear Gronwall–Bellman delay integral inequalities with power and its applications

A new class of nonlinear Gronwall–Bellman delay integral inequalities with power and its applications

Abstract In this paper, we establish some new delay Gronwall–Bellman integral inequalities with power, which can be used as a convenient tool to study the qualitative properties of solutions to differential and integral equations. We also give some examples to illustrate the application of our resul...

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Bibliographic Details
Main Authors: Bo Fang, Yujiao Liu, Run Xu
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Advances in Difference Equations
Subjects:
Delay
Integral
Inequalities
Gronwall–Bellman
Power
Nonlinear
Online Access:https://doi.org/10.1186/s13662-021-03291-2
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spelling doaj-0e9a213f711d4583b43c8961702489632021-05-09T11:40:40ZengSpringerOpenAdvances in Difference Equations1687-18472021-05-012021112110.1186/s13662-021-03291-2A new class of nonlinear Gronwall–Bellman delay integral inequalities with power and its applicationsBo Fang0Yujiao Liu1Run Xu2School of Mathematical Science, Qufu Normal UniversitySchool of Statistics, Qufu Normal UniversitySchool of Mathematical Science, Qufu Normal UniversityAbstract In this paper, we establish some new delay Gronwall–Bellman integral inequalities with power, which can be used as a convenient tool to study the qualitative properties of solutions to differential and integral equations. We also give some examples to illustrate the application of our results to obtain the estimation for the solution of the integral and differential equations.https://doi.org/10.1186/s13662-021-03291-2DelayIntegralInequalitiesGronwall–BellmanPowerNonlinear
collection DOAJ
language English
format Article
sources DOAJ
author Bo Fang
Yujiao Liu
Run Xu
spellingShingle Bo Fang
Yujiao Liu
Run Xu
A new class of nonlinear Gronwall–Bellman delay integral inequalities with power and its applications
Advances in Difference Equations
Delay
Integral
Inequalities
Gronwall–Bellman
Power
Nonlinear
author_facet Bo Fang
Yujiao Liu
Run Xu
author_sort Bo Fang
title A new class of nonlinear Gronwall–Bellman delay integral inequalities with power and its applications
title_short A new class of nonlinear Gronwall–Bellman delay integral inequalities with power and its applications
title_full A new class of nonlinear Gronwall–Bellman delay integral inequalities with power and its applications
title_fullStr A new class of nonlinear Gronwall–Bellman delay integral inequalities with power and its applications
title_full_unstemmed A new class of nonlinear Gronwall–Bellman delay integral inequalities with power and its applications
title_sort new class of nonlinear gronwall–bellman delay integral inequalities with power and its applications
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-05-01
description Abstract In this paper, we establish some new delay Gronwall–Bellman integral inequalities with power, which can be used as a convenient tool to study the qualitative properties of solutions to differential and integral equations. We also give some examples to illustrate the application of our results to obtain the estimation for the solution of the integral and differential equations.
topic Delay
Integral
Inequalities
Gronwall–Bellman
Power
Nonlinear
url https://doi.org/10.1186/s13662-021-03291-2
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AT runxu anewclassofnonlineargronwallbellmandelayintegralinequalitieswithpoweranditsapplications
AT bofang newclassofnonlineargronwallbellmandelayintegralinequalitieswithpoweranditsapplications
AT yujiaoliu newclassofnonlineargronwallbellmandelayintegralinequalitieswithpoweranditsapplications
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