Some new dynamic Opial type inequalities and applications for second order integro-differential dynamic equations on time scales

DOI10.1016/j.amc.2014.01.136zbMath1410.34053OpenAlexW1971897053MaRDI QIDQ1646145

Lianzhong Li, Mao'an Han

Publication date: 22 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.136

zbMATH Keywords

integro-differential dynamic equationtime scaledisconjugatedisfocalOpial type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Differential inequalities involving functions of a single real variable (34A40) Dynamic equations on time scales or measure chains (34N05)

Related Items (5)

Some inequalities for partial derivatives on time scales ⋮ GLOBAL ATTRACTABILITY AND PERMANENCE FOR A NEW STAGE-STRUCTURED DELAY IMPULSIVE ECOSYSTEM ⋮ New oscillation criteria for higher order delay dynamic equations on time scales ⋮ Some dynamic integral inequalities with mixed nonlinearities on time scales ⋮ Some Opial-type inequalities with higher order delta derivatives on time scales

Cites Work

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• A generalization of Opial's inequality and applications to second-order dynamic equations
• Lyapunov inequalities for time scales.
• Some generalizations of Opial's inequalities on time scales
• On a disconjugacy criterion for second-order dynamic equations on time scales
• Opial inequalities on time scales
• Inequalities on Time Scales: A Survey
• Opial’s inequality and oscillation of 2nd order equations

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