Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case

DOI10.1007/s10474-022-01218-1OpenAlexW4223430243MaRDI QIDQ2151124

Michal Veselý, Michal Pospíšil, Petr Hasil, Jiřina Šišoláková

Publication date: 30 June 2022

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-022-01218-1

zbMATH Keywords

oscillation theoryRiccati equationlinear equationdifference equationhalf-linear equationRiccati techniquenon-oscillationEuler type

Mathematics Subject Classification ID

Linear difference equations (39A06) Oscillation theory for difference equations (39A21)

Related Items (2)

Modification of adapted Riccati equation and oscillation of linear and half-linear difference equations ⋮ Oscillation of linear and half-linear difference equations via modified Riccati transformation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Critical oscillation constant for Euler-type dynamic equations on time scales
• Oscillatory properties of half-linear difference equations: two-term perturbations
• Generalized Prüfer angle and oscillation of half-linear differential equations
• Almost periodic transformable difference systems
• Riccati type transformations for second-order linear difference equation. II
• Spectral analysis of second order difference equations
• Comparison theorems and strong oscillation in the half-linear discrete oscillation theory.
• Non-oscillation of perturbed half-linear differential equations with sums of periodic coefficients
• Oscillation constants for half-linear difference equations with coefficients having mean values
• Oscillation and non-oscillation of half-linear differential equations with coefficients determined by functions having mean values
• Limit periodic homogeneous linear difference systems
• Oscillation criteria for second-order nonlinear difference equations of Euler type
• Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation. II
• Averaging technique and oscillation criterion for linear and half-linear equations
• Hartman-Wintner type lemma, oscillation, and conjugacy criteria for half-linear difference equations
• Critical oscillation constant for difference equations with almost periodic coefficients
• Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations
• Properties of solutions of generalized Sturm-Liouville discrete equations
• Moore-type nonoscillation criteria for half-linear difference equations
• Oscillation and non-oscillation criteria for linear and half-linear difference equations
• Nonoscillation of second-order linear difference systems with varying coefficients
• Oscillatory Properties of Second Order Half-Linear Difference Equations
• Non-oscillation of half-linear differential equations with periodic coefficients
• Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation
• Almost periodic homogeneous linear difference systems without almost periodic solutions
• Oscillatory Second Order Linear Difference Equations and Riccati Equations
• Oscillation of a second order half-linear difference equation and the discrete Hardy inequality
• Oscillation and nonoscillation criteria for second-order nonlinear difference equations of Euler type
• Non‐oscillation of linear and half‐linear differential equations with unbounded coefficients
• Nonoscillation of half‐linear dynamic equations on time scales
• WEIGHTED HARDY INEQUALITIES WITH SHARP CONSTANTS
• Riccati transformation and nonoscillation criterion for linear difference equations
• Nonoscillatory solutions of half‐linear Euler‐type equation with n terms
• Hille–Nehari type criteria and conditionally oscillatory half-linear differential equations
• Oscillation result for half‐linear dynamic equations on timescales and its consequences
• General solutions of second-order linear difference equations of Euler type
• Oscillation of second-order linear difference equations
• Generalized discrete Riccati equation and oscillation of half-linear difference equations.

This page was built for publication: Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case