Factorization and Disconjugacy of Third Order Differential Equations

DOI10.2307/2038543zbMath0237.34052OpenAlexW4232830940MaRDI QIDQ5647260

Anton Zettl

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038543

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (1)

General Theory of the Factorization of Ordinary Linear Differential Operators

Cites Work

• Oscillation criteria for third-order linear differential equations
• The behavior of solutions of the differential equation \(y+p(x)y'+q(x)y = 0\)
• Disconjugacy conditions for linear third-order differential equations
• An extension of Polya's theorem
• Third-order differential equations with nonnegative coefficients
• On the relationship between the oscillatory behavior of a linear third- order differential equation and its adjoint
• Disconjugacy criteria for linear differential equations
• Oscillation theory of ordinary linear differential equations
• Principal Solutions of Disconjugate n-th Order Linear Differential Equations
• On Disconjugacy Criteria
• Asymptotic Behaviour of Disconjugate nth Order Differential Equations
• Oscillatory Properties of Linear Third-Order Differential Equations
• Shorter Notes: Factorization of Differential Operators
• Generalized de la Vallée Poussin Disconjugacy Tests for Linear Differential Equations⁽¹⁾
• Disconjugacy Tests for Singular Linear Differential Equations

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