A class of retarded nonlinear integral inequalities and its application in nonlinear differential-integral equation

DOI10.1186/1029-242X-2012-154zbMath1280.26029OpenAlexW2139769003WikidataQ59289956 ScholiaQ59289956MaRDI QIDQ379102

Wu-Sheng Wang

Publication date: 8 November 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-154

zbMATH Keywords

estimationintegral inequalityanalysis techniqueretarded differential-integral equation

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) Differential inequalities involving functions of a single real variable (34A40) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20)

Related Items (3)

Some new generalized Gronwall-Bellman type discrete fractional inequalities ⋮ Some new generalized Volterra-Fredholm type finite difference inequalities involving four iterated sums ⋮ New Gronwall-Bellman type inequalities and applications in the analysis for solutions to fractional differential equations

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

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