Asymptotic properties of solutions to a \(2n\)th-order differential equation on a time scale

DOI10.1016/S0895-7177(00)00162-XzbMath0963.34042OpenAlexW1988597292WikidataQ115338627 ScholiaQ115338627MaRDI QIDQ1591035

Douglas R. Anderson, Allan C. Peterson

Publication date: 18 June 2001

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

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00162-x

zbMATH Keywords

solutionsasymptotic propertiestime scale\(2n\)th-order linear selfadjoint differential equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (6)

A class of linear dynamical equations for a Banach space on time scales ⋮ Calculus of variations on time scales: Weak local piecewise \(C_{\text{rd}}^{1}\) solutions with variable endpoints. ⋮ Oscillation and nonoscillation theorems for fourth order difference equations ⋮ Positive solutions for higher order nonlinear neutral dynamic equations on time scales ⋮ Linear perturbations of a nonoscillatory second-order dynamic equation ⋮ A time scales version of a Wirtinger-type inequality and applications

Cites Work

• Oscillatory and asymptotic behavior of certain fourth order difference equations
• The \((n,n)\)-disconjugacy of a \(2n\)-th order linear difference equation
• Asymptotic behavior of solutions of a two term difference equation
• A third-order differential equation on a time scale
• On the asymptotic behaviour of integrals of the differential equation $y\sp{(4)}+Q(x)y=0$
• Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity
• A quadratic functional for a third order linear difference equation
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotic properties of solutions to a \(2n\)th-order differential equation on a time scale