Oscillation and nonoscillation criteria for second-order nonlinear difference equations of Euler type

DOI10.1090/PROC/13888zbMath1383.39013OpenAlexW2771095558MaRDI QIDQ4604683

Naoto Yamaoka

Publication date: 5 March 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13888

zbMATH Keywords

phase plane analysisdifference equationsRiccati techniqueoscillation constantnonoscillation criteriaCauchy-Euler equationlogarithm functions

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Discrete version of topics in analysis (39A12) Oscillation theory for difference equations (39A21)

Related Items (10)

Non-oscillation of modified Euler type linear and half-linear differential equations ⋮ Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case ⋮ Oscillation and nonoscillation of perturbed nonlinear equations with p‐Laplacian ⋮ Oscillation of linear and half-linear difference equations via modified Riccati transformation ⋮ 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 ⋮ Riccati transformation and nonoscillation criterion for linear difference equations ⋮ New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions ⋮ Unnamed Item ⋮ Riccati technique and oscillation of linear second-order difference equations

Cites Work

• Unnamed Item
• Nonoscillation and oscillation of second-order linear dynamic equations via the sequence of functions technique
• Oscillation of solutions of second-order nonlinear differential equations of Euler type
• Oscillatory properties of second order nonlinear differential equations
• Oscillation theorems for second-order nonlinear differential equations of Euler type
• An infinite sequence of nonoscillation theorems for second-order nonlinear differential equations of Euler type
• Oscillation criteria for second-order nonlinear difference equations of Euler type
• Hille-Kneser-type criteria for second-order dynamic equations on time scales
• Multilayer structures of second-order linear differential equations of Euler type and their application to nonlinear oscillations
• Nonlinear oscillations of second order differential equations of Euler type
• General solutions of second-order linear difference equations of Euler type
• Non-Oscillation Theorems
• Ordinary Differential Equations
• Oscillation criteria for second order nonlinear differential equations of Euler type

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