Oscillatory and asymptotic behaviour of solutions of a class of linear ordinary differential equations

DOI10.1017/S0308210500015328zbMath0486.34021OpenAlexW2074449720MaRDI QIDQ3946451

Manabu Naito, Kyoko Tanaka, Takasi Kusano

Publication date: 1981

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500015328

zbMATH Keywords

Euler equationsasymptotic behaviournonoscillatory solutionsdisconjugate differential operatorgrowth of the higher derivatives

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (18)

Asymptotic behavior of third-order functional differential equations with a negative middle term ⋮ Almost oscillatory fractional differential equations ⋮ Comparison Theorems for Functional Differential Equations ⋮ Positive solutions of functional differential equations with singular nonlinear terms ⋮ Asymptotic properties of third-order delay trinomial differential equations ⋮ Asymptotic properties of the third order delay differential equations ⋮ Equivalency for Disconjugate Operators ⋮ On properties of third-order differential equations via comparison principles ⋮ On a cyclic disconjugate operator associated to linear differential equations ⋮ On nonlinear oscillations for equations associated to disconjugate operators ⋮ Integral criteria for a classification of solutions of linear differential equations ⋮ Comparison theorems of Hille-Wintner type for disconjugate linear differential equations ⋮ Unnamed Item ⋮ Comparison theorems for the third order trinomial differential equations with delay argument ⋮ An equivalence theorem on properties A, B for third order differential equations ⋮ Properties of the third order trinomial differential equations with delay argument ⋮ Some properties of third order differential operators ⋮ Asymptotic properties of differential equations with deviating argument

Cites Work

• Nonoscillatory solutions of higher order differential equations
• Nonlinear oscillation of higher-order functional differential equations with deviating arguments
• Oscillation properties of certain self-adjoint differential equations of the fourth order
• The essential uniqueness of bounded nonoscillatory solutions of certain even order differential equations
• Oscillatory solutions and extremal points for a linear differential equation
• On the oscillation of solutions of a class of linear fourth order differential equations
• A bounded nonoscillatory solution of an even order linear differential equation
• Linear Differential and Difference Equations with Monotone Solutions

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