Boundedness of solutions of a class of higher order ordinary differential equations

DOI10.1016/0022-0396(82)90107-3zbMath0532.34027OpenAlexW2081002158MaRDI QIDQ788882

Manabu Naito, Takasi Kusano

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90107-3

zbMATH Keywords

boundedness of solutions, n-th order nonlinear equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (5)

Oscillation of higher order fractional differential equations ⋮ On a cyclic disconjugate operator associated to linear differential equations ⋮ Asymptotic and oscillatory properties for the solutions of a class of nth order differential equations ⋮ Integral criteria for a classification of solutions of linear differential equations ⋮ On existence of nonoscillatory solutions in forced nonlinear differential equations

Cites Work

• Unnamed Item
• On the oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments
• On asymptotic limits of nonoscillations in functional equations with retarded arguments
• Asymptotic behavior of oscillatory solutions of a differential equation with deviating arguments
• On the oscillatory behavior of bounded solutions of higher order differential equations
• On the asymptotic behavior of the solutions of second order linear differential equations
• A bounded nonoscillatory solution of an even order linear differential equation
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Necessary and Sufficient Condition for Maintaining Oscillations and Nonoscillations in General Functional Equations and Their Asymptotic Properties
• Growth and Decay of Solutions of y (2n) - py = 0
• Canonical Forms and Principal Systems for General Disconjugate Equations
• Asymptotic Behaviour of Disconjugate nth Order Differential Equations
• Linear Differential and Difference Equations with Monotone Solutions

This page was built for publication: Boundedness of solutions of a class of higher order ordinary differential equations