NEW GRONWALL–OU-IANG TYPE INTEGRAL INEQUALITIES AND THEIR APPLICATIONS

DOI10.1017/S1446181108000266zbMath1171.26323OpenAlexW2105085140MaRDI QIDQ5191237

Young-Ho Kim, Josip E. Pečarić, Yeol Je Cho

Publication date: 29 July 2009

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181108000266

zbMATH Keywords

retarded differential equationsintegral inequalitiesretarded integral inequalitypartial delay differential equations

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Boundary value problems for functional-differential equations (34K10)

Related Items (5)

Delay dynamic double integral inequalities on time scales with applications ⋮ A note on the existence and uniqueness of the solutions to SFDES ⋮ Gronwall-OuIang-type integral inequalities on time scales ⋮ Nonlinear integral inequalities involving maxima of unknown scalar functions ⋮ Study on the estimates of Gronwall-Ou-Iang dynamic integral inequalities by means of diamond-\(\alpha\) derivatives

Cites Work

• A retarded integral inequality and its applications.
• On some new inequalities related to certain inequalities in the theory of differential equations
• Some new nonlinear inequalities and applications to boundary value problems
• On certain new Gronwall-Ou-Iang type integral inequalities in two variables and their applica\-tions
• Explicit bounds on certain integral inequalities

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