On the structure of positive solutions of a class of fourth order nonlinear differential equations

DOI10.1007/s10231-005-0165-5zbMath1232.34056OpenAlexW2050746745MaRDI QIDQ661088

Kusano Takaŝi, Tomoyuki Tanigawa

Publication date: 18 February 2012

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/s10231-005-0165-5

zbMATH Keywords

oscillationpositive solutionfourth-order nonlinear differential equation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (9)

An integral oscillation criterion for even order half-linear differential equations ⋮ Fourth-order differential equation with deviating argument ⋮ Sharp oscillation criteria for a class of fourth order nonlinear differential equations ⋮ Nonlinear oscillations of fourth order quasilinear ordinary differential equations ⋮ Positive blow-up solutions of nonlinear models from real world dynamics ⋮ Oscillation criteria for fourth order half-linear differential equations ⋮ Existence of eventually positive solutions of fourth order quasilinear differential equations ⋮ Asymptotics of decreasing solutions of coupled \(p\)-Laplacian systems in the framework of regular variation ⋮ Existence and asymptotic behavior of intermediate type of positive solutions of fourth-order nonlinear differential equations

Cites Work

• Unnamed Item
• A note on the existence and asymptotic behavior of nonoscillatory solutions of fourth order quasilinear differential equations
• Nonlinear Oscillation of Fourth Order Differential Equations
• On Fourth-Order Non-Linear Oscillations
• Oscillation theorems for fourth-order quasilinear ordinary differential equations

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