Some properties of third order differential operators

DOI10.1023/A:1022878804065zbMath0903.34032OpenAlexW132025628MaRDI QIDQ4210015

Mauro Marini, Zuzana Došlá, Mariella Cecchi

Publication date: 28 September 1998

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30395

zbMATH Keywords

canonical formsdifferential operatorsadjoint equationoscillatory solutionKneser solutionproperty Acyclic permutationlinear differential equations of third order

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (9)

Comparison theorems for noncanonical third order nonlinear differential equations ⋮ Oscillation of third order differential equation with damping term ⋮ Oscillatory properties for three-dimensional dynamic systems ⋮ Asymptotic properties of solutions of third-order nonlinear differential equations with deviating argument ⋮ On nonlinear oscillations for equations associated to disconjugate operators ⋮ On solutions of third order nonlinear differential equations ⋮ On oscillation of third-order noncanonical delay differential equations ⋮ An equivalence theorem on properties A, B for third order differential equations ⋮ Oscillation of third-order differential equations with noncanonical operators

Cites Work

• On a cyclic disconjugate operator associated to linear differential equations
• Oscillation criteria for third-order linear differential equations
• Oscillation, nonoscillation, and asymptotic behavior for third order nonlinear differential equations
• Oscillatory criteria for nonlinear third order differential equations with quasiderivatives
• On the qualitative behavior of solutions of third order differential equations
• The behavior of solutions of the differential equation \(y+p(x)y'+q(x)y = 0\)
• On the relationship between the oscillatory behavior of a linear third- order differential equation and its adjoint
• Disconjugacy
• On the Sturm–Picone Theorem for nth Order Differential Equations
• On the oscillatory behavior of a third order nonlinear differential equation
• Oscillatory and asymptotic behaviour of solutions of a class of linear ordinary differential equations
• Nonoscillation and Eventual Disconjugacy
• Oscillatory and asymptotic properties of third and fourth order linear differential equations
• Canonical Forms and Principal Systems for General Disconjugate Equations
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