Asymptotic behavior of the solutions of the third order nonlinear differential equations \(u\pm t^\sigma u^n=0\)

DOI10.1007/BF02417010zbMath0307.34046OpenAlexW2092811327MaRDI QIDQ1218086

Paul A. Ohme

Publication date: 1975

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02417010

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

Nonoscillation results for third-order nonlinear differential equations ⋮ Asymptotic behavior of the solutions of a third-order nonlinear differential equation ⋮ On strongly increasing solutions of nonlinear ordinary differential equations ⋮ Nonoscillation criteria for nonlinear ordinary differential equations of the third order ⋮ Asymptotic forms of positive solutions of third-order Emden-Fowler equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Oscillation criteria for third-order linear differential equations
• The behavior of solutions of the differential equation \(y+p(x)y'+q(x)y = 0\)
• Oscillation criteria for third order nonlinear differential equations
• A stability theorem for a third order nonlinear differential equation
• On the oscillatory behavior of a class of linear third order differential equations
• Qualitative behavior of solutions of a third order nonlinear differential equation
• Asymptotic expansions of the subdominant solutions of a class of nonhomogeneous differential equations
• Asymptotic expansions for the solutions of a class of nonhomogeneous differential equations
• A boundedness result for the solutions of certain third order differential equations
• On the Boundedness of Solutions of a Certain Differential Equation of the Third Order
• A Stability Result for a Third Order Nonlinear Differential Equation^*
• The Asymptotic Behavior of a Solution of the Third order Linear Differential Equation
• Nonperiodicity of Solutions of a Third Order Equation
• On the Stability of the Solutions of Some Third Order Differential Equations
• The Asymptotic Behavior of Solutions of Linear Third Order Differential Equations
• Asymptotic Behavior of the Solutions of Certain Third Order Differential Equations
• On Certain Families of Solutions of Third Order Ordinary Differential Equations
• On Periodic Solutions of x‴ + ax″ + b′ + g(x) = 0
• An Elementary Proof of a Boundedness Theorem for a Certain Third Order Differential Equation
• The oscillation character of the solutions of the equation $y\sp{(n)}+f(x)y\sp\alpha=0$, $n>1$

This page was built for publication: Asymptotic behavior of the solutions of the third order nonlinear differential equations \(u\pm t^\sigma u^n=0\)