Bounded oscillations of linear and nonlinear delay-differential equations of even order

DOI10.1016/0022-247X(74)90290-XzbMath0282.34027MaRDI QIDQ1843888

Grant Gustafson

Publication date: 1974

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 (12)

Development of oscillation theory of the solutions of differential equations with retarded argument ⋮ Oscillation properties of a second-order impulsive delay differential equation ⋮ Reversibility and regularity ⋮ Distance between zeros of certain differential equations having delayed arguments ⋮ Unnamed Item ⋮ Bell and Zeno ⋮ Bounded oscillation in a class of functional differential equations ⋮ Oscillatory effects of retarded actions ⋮ Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order ⋮ A survey on non-linear oscillations ⋮ Sharp conditions for oscillations caused by delays ⋮ Oscillation and asymptotic behavior of bounded solutions of functional differential equations with delay

Cites Work

• On nonlinear oscillations for a second order delay equation
• Some criteria for second order nonlinear delay-differential equations
• Oscillation theorems for a second-order delay equation
• Nonoscillation of second-order, linear differential equations with retarded argument
• A Note on an Oscillation Criterion for an Equation with a Functional Argument
• Asymptotic Behaviour of Disconjugate nth Order Differential Equations
• Oscillation Theorems for Second-Order Differential Equations with Functional Arguments
• Oscillation and asymptotic behavior of solutions of differential equations with retarded argument
• Functional differential equations
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