New inequalities of Opial's type on time scales and some of their applications

DOI10.1155/2012/362526zbMath1244.26050OpenAlexW2011673298WikidataQ58700492 ScholiaQ58700492MaRDI QIDQ444251

Samir H. Saker

Publication date: 14 August 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/362526

zbMATH Keywords

Opial's type inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Dynamic equations on time scales or measure chains (34N05)

Related Items

Opial-type inequalities with two unknowns and two functions on time scales, Some new Opial type dynamic inequalities via convex functions and applications, Oscillation criteria of singular initial-value problem for second order nonlinear dynamic equation on time scales, Opial and Pólya type inequalities via convexity, Some new inequalities of Opial's type on time scales, Some Opial-type inequalities with higher order delta derivatives on time scales, New characterizations of weights in Hardy and Opial type inequalities via solvability of dynamic equations

Cites Work

• Some Opial-type inequalities on time scales
• A generalization of Opial's inequality and applications to second-order dynamic equations
• Some dynamic Wirtinger-type inequalities and their applications
• Lyapunov inequalities for time scales.
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Bounds for certain nonlinear dynamic inequalities on time scales
• Some Pachpatte type inequalities on time scales
• Some new dynamic inequalities on time scales
• Opial inequalities on time scales
• Opial’s inequality and oscillation of 2nd order equations
• On the Oscillation of Differential Equations with an Oscillatory Coefficient