Hartman-Wintner type lemma, oscillation, and conjugacy criteria for half-linear difference equations

DOI10.1006/jmaa.2000.7124zbMath0969.39009OpenAlexW2132731398WikidataQ125057489 ScholiaQ125057489MaRDI QIDQ1840544

Pavel Řehák

Publication date: 27 September 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7124

zbMATH Keywords

oscillationconjugacyRiccati equationhalf-linear difference equationnonoscillationHartman-Wintner lemma

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (17)

Oscillation constants for half-linear difference equations with coefficients having mean values ⋮ Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case ⋮ Oscillation of linear and half-linear difference equations via modified Riccati transformation ⋮ Oscillation of second-order perturbed nonlinear difference equations. ⋮ Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation ⋮ Riccati transformation and nonoscillation criterion for linear difference equations ⋮ Comparison theorems and strong oscillation in the half-linear discrete oscillation theory. ⋮ Moore-type nonoscillation criteria for half-linear difference equations ⋮ Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation. II ⋮ Philos-type oscillation criteria for second order half-linear dynamic equations on time scales ⋮ Oscillatory Properties of Second Order Half-Linear Difference Equations ⋮ Summation characterization of the recessive solution for half-linear difference equations ⋮ Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations ⋮ Generalized discrete Riccati equation and oscillation of half-linear difference equations. ⋮ Comparison theorems for second order nonlinear difference equations ⋮ Riccati technique and oscillation of linear second-order difference equations ⋮ Oscillation and nonoscillation criteria for a half-linear difference equation of the second order and the extended discrete Hardy inequality

Cites Work

• General relativity and conjugate ordinary differential equations
• Riccati techniques and discrete oscillations
• Nonoscillation criteria for half-linear second-order difference equations
• Oscillations of half-linear second order differential equations
• Oscillatory Properties of Second Order Half-Linear Difference Equations
• Oscillation criteria for second order half—linear difference equations
• Weighted Averaging Techniques in Oscillation Theory for Second Order Difference Equations
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