Oscillation of second order nonlinear dynamic equations on time scales

DOI10.1216/rmjm/1181069797zbMath1075.34028OpenAlexW2038662746MaRDI QIDQ1767339

Martin J. Bohner, Samir H. Saker

Publication date: 10 March 2005

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069797

zbMATH Keywords

oscillationtime scalesRiccati equationdynamic equationRiccati transformationmeasure chainKamenev-type criteriaEuler dynamic equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

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• Oscillation criteria for second-order matrix dynamic equations on a time scale
• On a disconjugacy criterion for second-order dynamic equations on time scales
• An oscillation theorem for discrete eigenvalue problems
• Oscillation criteria for second order linear differential equations
• Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales
• Oscillation results for a dynamic equation on a time scale

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