Asymptotic integration of nonoscillatory differential equations: A unified approach

DOI10.1007/s10883-011-9122-3zbMath1264.34099OpenAlexW1964345489MaRDI QIDQ652644

Donald A. Lutz, Sigrun Bodine

Publication date: 15 December 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-011-9122-3

zbMATH Keywords

differential equationsasymptotic integrationnonoscillatory

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation ⋮ Limit-periodic solutions of difference and differential systems without global lipschitzianity restrictions ⋮ Interpolation in the asymptotic integration of nonoscillatory differential equations

Cites Work

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• Asymptotic integration of nonoscillatory second-order differential equations
• Asymptotic solutions and error estimates for linear systems of difference and differential equations.
• The asymptotic nature of solutions of linear systems of differential equations
• Linear Perturbations of a Nonoscillatory Second Order Equation
• Asymptotic Integration of a Second Order Ordinary Differential Equation
• Asymptotic Integrations of Nonoscillatory Second Order Differential Equations
• Necessary and sufficient conditions for the solvability of a problem of Hartman and Wintner
• Linear perturbations of a nonoscillatory second order differential equation II
• Asymptotic Integrations of Linear Differential Equations
• Ordinary Differential Equations

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