Non-oscillatory phenomena and damped oscillations

DOI10.1016/0362-546X(78)90066-4zbMath0378.34057OpenAlexW2094419169MaRDI QIDQ4157466

Ch. G. Philos, Vasilios A. Staikos

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0362-546x(78)90066-4

Mathematics Subject Classification ID

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) Free motions in linear vibration theory (70J30)

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Sharp Opial-type inequalities involving \(r\)-derivatives and their applications, On the oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments, Asymptotic behavior of oscillatory solutions of a differential equation with deviating arguments, Existence of slow oscillations in functional equations, EXISTENCE OF POSITIVE EVANESCENT SOLUTIONS TO SOME QUASILINEAR ELLIPTIC EQUATIONS, On nonoscillation of canonical or noncanonical disconjugate functional equations, Nonoscillation of higher order functional differential equations, A basic asymptotic criterion for differential equations with deviating arguments and its applications to the nonoscillation of linear ordinary equations

Cites Work

• Nonoscillation theorems for differential equations with deviating argument
• On the asymptotic behavior of nonoscillatory solutions of differential equations with deviating arguments
• Disconjugacy
• Oscillation Properties of Perturbed Disconjugate Equations
• Asymptotic Behaviour of Non-Oscillatory Solutions of Functional Differential Equations of Arbitrary Order