A basic asymptotic criterion for differential equations with deviating arguments and its applications to the nonoscillation of linear ordinary equations

DOI10.1016/0362-546X(82)90077-3zbMath0492.34066OpenAlexW2045971833MaRDI QIDQ3954164

Ch. G. Philos, Vasilios A. Staikos

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90077-3

zbMATH Keywords

asymptotic behaviornonoscillationdifferential equations with deviating arguments

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

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Cites Work

• Oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments
• Comparison and nonoscillation results for perturbed nonlinear differential equations
• Oscillatory and asymptotic behaviour of all solutions of differential equations with deviating arguments
• Correction to: Some Oscillation and Asymptotic Properties for Linear Differential Equations
• Non-oscillatory phenomena and damped oscillations
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