Oscillation of a family of \(q\)-difference equations

DOI10.1016/J.AML.2008.07.014zbMath1170.39002OpenAlexW2018427833MaRDI QIDQ1023070

Jia Baoguo, Allan C. Peterson, Lynn H. Erbe

Publication date: 10 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.aml.2008.07.014

zbMATH Keywords

classificationoscillationnonoscillation\(q\)-difference equation

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13)

Related Items (5)

Second order linear q-difference equations: Nonoscillation and asymptotics ⋮ An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation ⋮ On the asymptotic behavior of solutions of Emden-Fowler equations on time scales ⋮ Necessary and sufficient conditions for positive solutions of second-order nonlinear dynamic equations on time scales ⋮ The second Noether theorem on time scales

Cites Work

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• Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales
• Riccati techniques and discrete oscillations
• Comparison theorems for linear dynamic equations on time scales.
• A Wong-type oscillation theorem for second order linear dynamic equations on time scales
• On the oscillatory behavior of the solutions of second order linear differential equations
• Oscillation and Nonoscillation of Solutions of Second Order Linear Differential Equations with Integrable Coefficients

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