Existence and growth of oscillatory solutions of first order unstable type delay differential equations

DOI10.1016/0362-546X(89)90069-2zbMath0706.34062OpenAlexW2030138900MaRDI QIDQ3487797

István Győri

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90069-2

zbMATH Keywords

oscillatory solutionoscillatory behaviour of solutionsfirst-order delay differential equations of the unstable type

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Growth and boundedness of solutions to ordinary differential equations (34C11) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (3)

Existence and uniqueness of the solution for some double delay integral equations ⋮ Asymptotic behavior of the oscillatory solutions to first order non-autonomous linear neutral delay differential equations of unstable type ⋮ The advancement of oscillation theory of functional-differential equations

Cites Work

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• Oscillation criteria in delay equations
• When all solutions of \(x'=-\Sigma q_ i(t)x(t-T_ i(t))\) oscillate
• Stability of functional differential equations
• Theory of functional differential equations. 2nd ed
• Oscillatory solutions of the equation \(y'(x) = m(x) y(x-n(x))\)
• Growth of Oscillatory Solutions of $y'(x) = y(x - d(x))$
• Oscillations caused by several retarded and advanced arguments

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