Generalized retarded nonlinear integral inequalities involving iterated integrals and an application

DOI10.1186/1029-242X-2013-376zbMath1285.26046OpenAlexW2123180419WikidataQ59301167 ScholiaQ59301167MaRDI QIDQ2441914

Xuefang Li, Deqing Huang, Wu-Sheng Wang

Publication date: 28 March 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-376

zbMATH Keywords

estimationintegral inequalityiterated integrals

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20)

Related Items (6)

On generalized of certain retarded nonlinear integral inequalities and its applications in retarded integro-differential equations ⋮ On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation ⋮ Some difference inequalities for iterated sums with applications ⋮ A multiple iterated integral inequality and applications ⋮ Generalized nonlinear Volterra-Fredholm type integral inequality with two variables ⋮ Estimation of unknown functions of iterative difference inequalities and their applications

Cites Work

• On some new integral inequalities of Gronwall-Bellman-Pachpatte type
• A generalized retarded Gronwall-like inequality in two variables and applications to BVP
• Generalization of a retarded Gronwall-like inequality and its applications
• A retarded Gronwall-like inequality and its applications
• Some new nonlinear inequalities and applications to boundary value problems
• On some new integral inequalities for functions in one and two variables
• The stability of solutions of linear differential equations
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• ON CERTAIN NEW NONLINEAR RETARDED INTEGRAL INEQUALITIES FOR FUNCTIONS IN TWO VARIABLES AND THEIR APPLICATIONS

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