Generalized discrete Riccati equation and oscillation of half-linear difference equations.

DOI10.1016/S0895-7177(01)00059-0zbMath1038.39002OpenAlexW2154998466MaRDI QIDQ5943354

Pavel Řehák

Publication date: 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(01)00059-0

zbMATH Keywords

discrete oscillation criteriadiscrete Riccati equationhalf-linear difference equationRiccati technique

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (14)

Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case ⋮ 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 ⋮ 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 ⋮ On the oscillation of even-order half-linear functional difference equations with damping term ⋮ Philos-type oscillation criteria for second order half-linear dynamic equations on time scales ⋮ Summation characterization of the recessive solution for half-linear difference equations ⋮ Oscillation and nonoscillation of asymptotically almost periodic half-linear difference equations ⋮ Comparison theorems for second order nonlinear difference equations ⋮ Generalized Zeros and Nonpositivity of Energy Functionals Associated with Half-Linear Even-Order Difference Equations ⋮ Riccati technique and oscillation of linear second-order difference equations

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