Oscillation of solutions of a linear second-order discrete-delayed equation

DOI10.1155/2010/693867zbMath1200.39002OpenAlexW2093168672WikidataQ59249876 ScholiaQ59249876MaRDI QIDQ978547

Jaromír Baštinec, Josef Diblík, Zdeněk Šmarda

Publication date: 25 June 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/693867

zbMATH Keywords

oscillationsecond order linear difference equationiterated logarithm functions

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Linear difference equations (39A06) Oscillation theory for difference equations (39A21)

Related Items (8)

A sharp oscillation criterion for a difference equation with constant delay ⋮ Convergence and divergence of the solutions of a neutral difference equation ⋮ A final result on the oscillation of solutions of the linear discrete delayed equation \({\Delta}x(n) = -p(n)x(n - k)\) with a positive coefficient ⋮ On some linear difference equations and inequalities with continuous argument ⋮ Boundedness and stability for discrete-time delayed neural network with complex-valued linear threshold neurons ⋮ Classification of neutral difference equations of any order with respect to the asymptotic behavior of their solutions ⋮ Oscillation criteria for second-order superlinear neutral differential equations ⋮ Oscillation criteria for certain second-order nonlinear neutral differential equations of mixed type

Cites Work

• Iterated oscillation criteria for delay dynamic equations of first order
• Nonoscillatory solutions of a second-order difference equation of Poincaré type
• Oscillation criteria for second-order forced dynamic equations with mixed nonlinearities
• Positive solutions of the equation \(\dot x(t)=-c(t)x(t-\tau)\) in the critical case
• Oscillation criteria of first-order linear difference equations with delay argument
• Nonoscillatory bounded solutions of neutral differential systems
• Oscillation of a logistic difference equation with several delays
• Oscillation criteria for first order delay difference equations
• Existence of positive solutions of discrete linear equations with a single delay
• Oscillations of first-order delay differential equations in a critical state
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