Oscillation and nonoscillation of solutions of second order linear dynamic equations with integrable coefficients on time scales

DOI10.1016/J.AMC.2009.07.060zbMath1191.34109OpenAlexW2048839108MaRDI QIDQ1045827

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

Publication date: 16 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.07.060

zbMATH Keywords

oscillationtime scalesnonoscillationdynamic equationsdominant solution

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Additive difference equations (39A10) Dynamic equations on time scales or measure chains (34N05)

Related Items (10)

Critical oscillation constant for difference equations with almost periodic coefficients ⋮ Oscillation of linear and half-linear differential equations via generalized Riccati technique ⋮ Oscillation and nonoscillation of perturbed nonlinear equations with p‐Laplacian ⋮ Oscillation criterion for linear equations with coefficients containing powers of natural logarithm ⋮ Closed‐form solutions of second‐order linear difference equations close to the self‐adjoint Euler type ⋮ New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions ⋮ Wong's comparison theorem for second order linear dynamic equations on time scales ⋮ A Wong-type oscillation theorem for second order linear dynamic equations on time scales ⋮ Oscillation of a family of \(q\)-difference equations ⋮ A Butler-type oscillation theorem for second-order dynamic equations on discrete timescales

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• 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
• Non-Oscillation Theorems
• A criterion of oscillatory stability
• On Linear Second Order Differential Equations with Small Coefficients

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