On retarded nonlinear integral inequalities of Gronwall and applications

DOI10.7153/jmi-2019-13-73zbMath1435.26018OpenAlexW3001262145MaRDI QIDQ5217465

Reda Gamal Ahmed, A. Abdeldaim, Ahmed A. El-Deeb

Publication date: 28 February 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2019-13-73

zbMATH Keywords

estimationdifferential equationintegral inequalityanalysis techniqueretarded integral

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)

Related Items (4)

New dynamic Hilbert-type inequalities in two independent variables involving Fenchel-Legendre transform ⋮ Novel dynamic Hardy‐type inequalities on time scales ⋮ Some generalized Gronwall-Bellman type difference inequalities and applications ⋮ On dynamic inequalities in two independent variables on time scales and their applications for boundary value problems

Cites Work

• Unnamed Item
• 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
• Inequalities for differential and integral equations
• On some new inequalities related to a certain inequality arising in the theory of differential equations
• Generalization of a retarded Gronwall-like inequality and its applications
• A retarded Gronwall-like inequality and its applications
• On some new inequalities related to certain inequalities in the theory of differential equations
• A new nonlinear retarded integral inequality and its application
• 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 Some New Nonlinear Integral Inequalities of Gronwall-Bellman Type
• Analytic Inequalities

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