Comparison theorems of Hille-Wintner type for third order linear differential equations

DOI10.1017/S0004972700006006zbMath0427.34033OpenAlexW2102494674MaRDI QIDQ3864222

Lynn H. Erbe

Publication date: 1980

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700006006

zbMATH Keywords

Sturm comparison theoremthird order linear equationHille Wintner comparison theorem

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)

Cites Work

• Oscillation criteria for third-order linear differential equations
• Properties of solutions of a class of third-order differential equations
• The behavior of solutions of the differential equation \(y+p(x)y'+q(x)y = 0\)
• Oscillation theory of ordinary linear differential equations
• An asymptotic property of solutions of \(y+py'+qy=0\)
• On the comparison theorem of Kneser-Hille
• Disconjugacy and Oscillation of Third Order Differential Equations with Nonnegative Coefficients
• On the Oscillation of Certain Third Order Linear Differential Equations
• Conditions for the Nonoscillation of Third Order Differential Equations with Nonnegative Coefficients
• Asymptotic Behavior of the Solutions of an nth Order Nonhomogeneous Ordinary Differential Equation
• Disconjugacy Conditions for the Third Order Linear Differential Equation
• Non-Oscillation Theorems

This page was built for publication: Comparison theorems of Hille-Wintner type for third order linear differential equations