A new Picone's dynamic inequality on time scales with applications

DOI10.1016/J.AML.2015.03.015zbMath1323.26029OpenAlexW2041378548MaRDI QIDQ494570

Samir H. Saker, Ramy R. Mahmoud, Allan C. Peterson

Publication date: 1 September 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.03.015

zbMATH Keywords

time scaleschain ruleWirtinger's inequalityPicone's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Real analysis on time scales or measure chains (26E70)

Related Items (3)

Simultaneous approximation of Birkhoff interpolation and the associated sharp inequalities ⋮ Dynamic Picone's identity and its applications ⋮ Picone's identity on hyperbolic space and its applications

Cites Work

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• On an integral inequality of the Wirtinger type
• Integral inequalities of the Wirtinger type
• Lyapunov and Wirtinger inequalities.
• Oscillation theory
• Oscillatory Properties of Second Order Half-Linear Difference Equations
• Wirtinger's Inequalities on Time Scales
• Discrete spectra criteria for singular differential operators with middle terms
• Forced oscillation of second order linear and half-linear difference equations

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