On the Factorizations of Ordinary Linear Differential Operators

DOI10.2307/2000550zbMath0605.34033OpenAlexW4245826330MaRDI QIDQ3743642

Gary D. Jones, Garret J. Etgen, Willie E. jun. Taylor

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000550

zbMATH Keywords

factorizationWronskiansdisconjugacy properties

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (5)

A classification of the solutions of a difference equation according to their behavior at infinity ⋮ Factorization of the linear differential operator ⋮ Properties of minors of the Wronskian for solutions of \(L_ ny+p(x)y=0\) as related to (k,n-k) disfocality ⋮ Factorization of Quasi-Differential Operators ⋮ Variation of parameters and solutions of composite products of linear differential equations

Cites Work

• Halbbeschränktheit gewöhnlicher Differentialoperatoren höherer Ordnung
• Oscillatory solutions and extremal points for a linear differential equation
• Disconjugacy
• Comparison Theorems for Disfocality and Disconjugacy of Differential Equations
• An Ordering of Oscillation Types for \[ y^{(n)} + py = 0.\]
• General Theory of the Factorization of Ordinary Linear Differential Operators
• Oscillation Properties of y n + py = 0
• Shorter Notes: Factorization of Differential Operators

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