On the behavior of nonoscillatory solutions of differential equations with deviating argument

DOI10.1016/0362-546X(79)90027-0zbMath0417.34106MaRDI QIDQ3207416

Y. G. Sficas

Publication date: 1979

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

zbMATH Keywords

oscillatory solutionnonoscillatory solutiondifferential equation with deviating argumentstrongly monotone solutionstrongly superlinear equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Growth and boundedness of solutions to ordinary differential equations (34C11) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (8)

Behavior of solutions of differential equations with deviating argument ⋮ On the oscillatory behavior of a third order nonlinear differential equation ⋮ On the existence of nonoscillatory solutions tending to zero at infinity for differential equations with positive delays ⋮ Oscillatory and asymptotic behavior of second and third order retarded differential equations ⋮ Integral criteria for a classification of solutions of linear differential equations ⋮ Stability of the asymptotic behavior of solutions of nonlinear differential inequalities relative to a lag in the argument ⋮ Oscillations of differential inequalities caused by several delay arguments ⋮ Oscillation and asymptotic behavior of solutions of linear differential inequalities and equations with deviating arguments

Cites Work

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• Oscillatory and asymptotic behavior of sublinear retarded differential equations
• The behavior of solutions of the differential equation \(y+p(x)y'+q(x)y = 0\)
• A comparison theorem for functional differential equations
• Oscillation and Asymptotic Behavior of Solutions of Third order Differential Delay Equations
• Oscillation Criteria for Second Order Nonlinear Delay Equations
• Oscillation of Solutions of Certain Ordinary Differential Equations of nTH Order

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