Nonoscillatory solutions of higher order delay equations

DOI10.1016/0022-247X(80)90266-8zbMath0455.34053MaRDI QIDQ1150084

K. E. Foster, Ronald Grimmer

Publication date: 1980

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

zbMATH Keywords

existence theorems

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 (19)

Oscillation and asymptotic behaviour of nonlinear equations with middle terms of order N − 1 and forcings ⋮ On the oscillation of functional differential equations ⋮ Oscillation theorems of higher-order nonlinear delay differential equations ⋮ Asymptotic and oscillatory behavior of \(n\)th order forced functional differential equations ⋮ Oscillation criteria for forced neutral differential equations ⋮ Oscillation of solutions of arbitrary order functional differential equations ⋮ Oscillation of certain functional-differential equations ⋮ Unnamed Item ⋮ Oscillation theorems for second order neutral functional differential equations ⋮ Oscillatory and asymptotic behavior of delay differential equations with a nonlinear damping term ⋮ The oscillation of perturbed functional differential equations ⋮ Oscillations of mixed neutral functional differential equations ⋮ Oscillation behavior of solutions for even order neutral functional differential equations ⋮ Oscillation of mixed neutral functional differential equations with distributed deviating arguments ⋮ Existence of eventually positive solutions of higher order impulsive delay differential equations ⋮ Generalizations of an inequality of Kiguradze ⋮ Oscillation theorems for higher order delay equations ⋮ Oscillation theorems of comparison type for neutral nonlinear functional differential equations ⋮ Comparison results for functional differential equations with two middle terms

Cites Work

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• Comparison theorems for delay differential equations
• Criteria for oscillation and growth of nonoscillatory solutions of forced differential equations of even order
• On n-th-order differential inequalities
• Oscillations of forced sublinear differential equations of even order
• On the nonoscillatory solutions of a sublinear even order differential equation
• Oscillatory and asymptotic behavior of the bounded solutions of differential equations with deviating arguments
• Oscillation theorems for second-order functional differential equations
• Oscillation Criteria and Growth of Nonoscillatory Solutions of Even Order Ordinary and Delay-Differential Equations
• A comparison theorem and the forced oscillation
• A comparison theorem for functional differential equations
• Oscillation, Continuation, and Uniqueness of Solutions of Retarded Differential Equations

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