The effect of the delay on the oscillatory and asymptotic behavior of \(n\)-th order retarded differential equations

DOI10.1016/0022-247X(75)90215-2zbMath0299.34100MaRDI QIDQ1215080

Y. G. Sficas

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

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)

Related Items

Development of oscillation theory of the solutions of differential equations with retarded argument ⋮ Asymptotic and oscilatory behavior of superlinear differential equations with deviating arguments ⋮ On the oscillatory behavior of bounded solutions of higher order differential equations ⋮ Asymptotic properties of solutions of functional differential equations of arbitrary order ⋮ Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order ⋮ Oscillatory properties of strongly superlinear differential equations with deviating arguments ⋮ Oscillation and a Class of Linear Delay Differential Equations ⋮ Oscillation theorems for nth-order differential equations with deviating arguments

Cites Work

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• Oscillations of functional-differential equations generated by delays
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• OSCILLATIONS OF HIGHER-ORDER RETARDED DIFFERENTIAL EQUATIONS GENERATED BY THE RETARDED ARGUMENT
• The Effect of Retarded Actions on Nonlinear Oscillations
• The oscillation character of the solutions of the equation $y\sp{(n)}+f(x)y\sp\alpha=0$, $n>1$