Oscillation of second-order linear difference equations

DOI10.1016/S0893-9659(99)00156-1zbMath0947.39005MaRDI QIDQ5918040

M. H. Abu-Risha

Publication date: 12 November 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

oscillationnonoscillationsecond-order linear difference equationsself-adjoint difference equation

Mathematics Subject Classification ID

Related Items (13)

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 criteria of solution for a second order difference equation with forced term ⋮ 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 ⋮ Unbounded positive solutions and Mann iterative schemes of a second-order nonlinear neutral delay difference equation ⋮ On positive solutions of a fourth order nonlinear neutral delay difference equation ⋮ On positive solutions and Mann iterative schemes of a third order difference equation ⋮ Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation. II ⋮ Riccati technique and oscillation of linear second-order difference equations ⋮ Existence of uncountably many bounded nonoscillatory solutions and their iterative approximations for second order nonlinear neutral delay difference equations

Cites Work

• Riccati type transformations for second-order linear difference equation. II
• Riccati type transformations for second-order linear difference equations
• Riccati techniques and discrete oscillations
• Oscillatory Second Order Linear Difference Equations and Riccati Equations
• Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
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