Nonlinear oscillation of second order differential equations with retarded argument

DOI10.1007/BF02415027zbMath0316.34083OpenAlexW1981934092MaRDI QIDQ1221220

Takasi Kusano, Manabu Naito

Publication date: 1975

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02415027

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 (15)

Oscillation criteria for second order sublinear dynamic equations with oscillating coefficients ⋮ Forced oscillation of certain neutral hyperbolic equations with continuous distributed deviating arguments ⋮ Asymptotics for third-order nonlinear differential equations: Non-oscillatory and oscillatory cases ⋮ Oscillation criteria for second order superlinear dynamic equations with oscillating coefficients ⋮ Asymptotic integration of second-order nonlinear delay differential equations ⋮ Existence and Nonoscillation Theorems for an Emden-Fowler Equation With Deviating Argument ⋮ Nonlinear oscillation of second order differential equations with retarded argument ⋮ Oscillation and nonoscillation of delay differential equations ⋮ An oscillation theorem for second order superlinear dynamic equations on time scales ⋮ On positive solutions of fourth order nonlinear differential inequalities ⋮ Oscillation theorems for semilinear elliptic differential operators ⋮ A criterion for the existence of bounded nonoscillatory solutions for nonlinear retarded differential equatory ⋮ On the oscillation of a class of nonlinear differential systems with deviating argument ⋮ Nonoscillatory solutions of forced differential equations of the second order ⋮ Classification of positive solutions of generalized functional-differential equations.

Cites Work

• Oscillation and asymptotic behavior of solutions of retarded differential equations of arbitrary order
• Nonlinear oscillation of second order differential equations with retarded argument
• Oscillation theorems for a second-order delay equation
• On a Class of Nonlinear Second-Order Differential Equations
• Oscillation theorems for second order differential equations with retarded argument
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