Some new generalized retarded nonlinear integral inequalities with iterated integrals and their applications

DOI10.1186/1029-242X-2012-236zbMath1279.26037WikidataQ59291131 ScholiaQ59291131MaRDI QIDQ385841

Wu-Sheng Wang

Publication date: 11 December 2013

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

zbMATH Keywords

estimationintegral inequalityiterated integralsanalysis 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 (2)

CERTAIN DEVELOPMENTS ON SOLUTIONS OF DYNAMIC INEQUALITIES IN THE PREMISE OF TIME SCALES ⋮ Estimation of unknown function of nonlinear weakly singular integral inequalities of Gronwall-Bellman-Pachpatte type

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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