Linear perturbations of a nonoscillatory second-order dynamic equation

DOI10.1080/10236190903022782zbMath1187.34127OpenAlexW2027187798MaRDI QIDQ3644281

Stevo Stević, Martin J. Bohner

Publication date: 3 November 2009

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

Full work available at URL: https://doi.org/10.1080/10236190903022782

zbMATH Keywords

perturbationasymptotic behaviourdynamic equationtime scalerecessive and dominant solution

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Additive difference equations (39A10) Asymptotic properties of solutions to ordinary differential equations (34D05) Dynamic equations on time scales or measure chains (34N05)

Related Items (10)

Wong type oscillation criteria for nonlinear impulsive differential equations ⋮ Unique existence of bounded continuous solutions on the real line of a class of nonlinear functional equations with complicated deviations ⋮ Asymptotic properties of solutions to discrete Volterra type equations ⋮ Existence of bounded positive solutions for a system of difference equations ⋮ Existence of bounded solutions of some systems of nonlinear functional differential equations with complicated deviating argument ⋮ On continuous solutions of a class of systems of nonlinear functional difference equations with deviating argument ⋮ Bounded solutions of some systems of nonlinear functional differential equations with iterated deviating argument ⋮ Lyapunov stability of quasilinear implicit dynamic equations on time scales ⋮ Conjugacy of self-adjoint difference equations of even order ⋮ Nonoscillatory solutions to second-order neutral difference equations

Cites Work

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• Asymptotic stability and asymptotic solutions of second-order differential equations
• Asymptotic properties of solutions to a \(2n\)th-order differential equation on a time scale
• Asymptotic behavior of second-order dynamic equations
• First and second order linear dynamic equations on time scales
• Linear perturbations of a nonoscillatory second order differential equation II
• Asymptotic expansions and analytic dynamic equations
• Linear perturbations of a nonoscillatory second order difference equation

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