Oscillation of solutions of second-order linear differential equations and corresponding difference equations

DOI10.1080/10236198.2014.893297zbMath1300.39003OpenAlexW2135828673MaRDI QIDQ5168662

Oleksandr Stanzhytskyi, Olga Karpenko, Martin J. Bohner

Publication date: 18 July 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2014.893297

zbMATH Keywords

oscillationfinite differencedifference equationzeros of solutionsamplitude of oscillation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Discrete version of topics in analysis (39A12) Linear difference equations (39A06) Oscillation theory for difference equations (39A21)

Related Items (2)

On the relation between oscillation of solutions of differential equations and corresponding equations on time scales ⋮ The relation between the existence of bounded global solutions of the differential equations and equations on time scales

Cites Work

• Feedback stabilization methods for the numerical solution of ordinary differential equations
• Oscillation of second order nonlinear dynamic equations on time scales
• Attractors under discretizations with variable stepsize
• Explicit conditions for the oscillation of difference equations
• The relation between the existence of bounded solutions of differential equations and the corresponding difference equations
• Attraction Rates, Robustness, and Discretization of Attractors
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