Growth properties of solutions to a linear differential equation

DOI10.1017/S0308210500019107zbMath0622.34032OpenAlexW2329494014WikidataQ115335900 ScholiaQ115335900MaRDI QIDQ3759182

Gary D. Jones

Publication date: 1986

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/s0308210500019107

zbMATH Keywords

dominance

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

A classification of the solutions of a difference equation according to their behavior at infinity ⋮ Equivalency for Disconjugate Operators ⋮ Markov systems of vector-valued functions and disconjugacy ⋮ Minors of the Wronskian of the differential equation L_ny + p(x)y = 0. II. Dominance of solutions

Cites Work

• Properties of disconjugate linear differential operators
• The essential uniqueness of bounded nonoscillatory solutions of certain even order differential equations
• Oscillatory solutions and extremal points for a linear differential equation
• A classification of the solutions of a differential equation according to their behaviour at infinity, II
• A classification of the solutions of a differential equation according to their asymptotic behaviour

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