Oscillation of solutions of first order delay differential equations

DOI10.1016/0362-546X(87)90045-9zbMath0639.34067OpenAlexW2087412866MaRDI QIDQ3781436

Jurang Yan

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90045-9

zbMATH Keywords

oscillation criteriafirst order nonlinear delay differential equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Nonlinear differential equations in abstract spaces (34G20) 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 (8)

Existence and nonexistence of eventually positive solutions for nonlinear neutral differential equations ⋮ Necessary and sufficient conditions for oscillations of delay differential inequalities ⋮ On a hyperlogistic delay equation ⋮ On a conjecture of Hunt and Yorke ⋮ Oscillation of solutions for first order neutral differential equations with distributed deviating arguments ⋮ Generic oscillations for delay differential equations ⋮ Oscillation criteria for first-order neutral differential equations ⋮ Oscillations of first order linear retarded differential equations

Cites Work

• Oscillation criteria in delay equations
• When all solutions of \(x'=-\Sigma q_ i(t)x(t-T_ i(t))\) oscillate
• Necessary and Sufficient Conditions for Oscillations
• Nonlinear delay differential inequalities
• Sharp conditions for oscillations caused by delays
• Oscillations caused by several retarded and advanced arguments
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