Sufficient conditions for oscillation and nonoscillation of neutral equations

DOI10.1016/0022-0396(87)90176-8zbMath0616.34063OpenAlexW2032018317MaRDI QIDQ1821250

Mustafa R. S. Kulenović, Gerasimos E. Ladas, E. A. Grove

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90176-8

zbMATH Keywords

neutral delay equation

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)

Unnamed Item ⋮ Oscillation of Neutral Differential Equations with Periodic Coefficients ⋮ Sufficient conditions for oscillation and existence of positive solutions ⋮ Bifurcation of the oscillation of a class of second order ordinary differential equations ⋮ On a conjecture of Hunt and Yorke ⋮ Unnamed Item ⋮ Oscillations of high order neutral differential equations with oscillatory coefficient ⋮ Oscillation of solutions of second order nonlinear functional differential equations of neutral type ⋮ On the existence of asymptotically decaying positive solutions of second order neutral differential equations ⋮ Existence and asymptotic behavior of solutions of nonlinear neutral differential equations ⋮ Oscillation theorems for second order neutral functional differential equations ⋮ Oscillations for first order neutral differential equations with variable coefficients ⋮ Oscillation of certain even-order neutral differential equations with distributed delay and damping term ⋮ Oscillations of mixed neutral functional differential equations ⋮ Existence of positive solutions for a class of first-order neutral functional differential equations ⋮ Technical trading can induce long-run memory in financial markets ⋮ Oscillation of solutions of forced neutral differential equations of $n$-th order ⋮ Existence results for fractional neutral functional differential equations with random impulses ⋮ An oscillation test for a class of linear neutral differential equations

Cites Work

• Unnamed Item
• Nonoscillatory functional differential equations
• Oscillations of first order neutral delay differential equations
• When all solutions of \(x'=-\Sigma q_ i(t)x(t-T_ i(t))\) oscillate
• A necessary and sufficient condition for the oscillation of neutral equation
• Oscillations of Neutral Delay Differential Equations
• Oscilations of higher-order neutral equations
• Oscillation and asymptotic behavior of neutral differential equations with deviating arguments
• Necessary and sufficient condition for oscillations of neutral differential equations

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