A classification of the solutions of a differential equation according to their behaviour at infinity, II

DOI10.1017/S0308210500013639zbMath0613.34042OpenAlexW2028210439WikidataQ115335911 ScholiaQ115335911MaRDI QIDQ3754325

Uri Elias

Publication date: 1985

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500013639

zbMATH Keywords

solution spacedisconjugate operator

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (7)

A classification of the solutions of a difference equation according to their behavior at infinity ⋮ Growth properties of solutions to a linear differential equation ⋮ Minors of the wronskian of the differential equation L_ny+p(x)y=0 ⋮ Periodic solutions and invariant manifolds for an even-order differential equation with power nonlinearity ⋮ Equivalency for Disconjugate Operators ⋮ Minors of the Wronskian of the differential equation L_ny + p(x)y = 0. II. Dominance of solutions ⋮ Extremal solutions for \(n\)th order linear difference equations

Cites Work

• Properties of disconjugate linear differential operators
• Nonlinear oscillation of higher-order functional differential equations with deviating arguments
• Green's functions and disconjugacy
• The essential uniqueness of bounded nonoscillatory solutions of certain even order differential equations
• An Ordering of Oscillation Types for \[ y^{(n)} + py = 0.\]
• A classification of the solutions of a differential equation according to their asymptotic behaviour

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