Invariant cones of positive initial functions for delay differential equations

DOI10.1080/00036819008839902zbMath0662.34069OpenAlexW1977914437WikidataQ58264449 ScholiaQ58264449MaRDI QIDQ3810995

István Győri

Publication date: 1990

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819008839902

zbMATH Keywords

monotone semiflowsscalar delay differential equationmaximal invariant cone

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 (4)

On the behavior of the solutions for certain first order linear autonomous functional differential equations ⋮ Periodic first order linear neutral delay differential equations ⋮ On the behavior of the solutions to periodic linear delay differential and difference equations ⋮ On non-autonomous linear difference equations with continuous variable

Cites Work

• Differential-difference equations
• Oscillation criteria in delay equations
• When all solutions of \(x'=-\Sigma q_ i(t)x(t-T_ i(t))\) oscillate
• Monotone semiflows generated by functional differential equations
• Oscillatory behavior in linear retarded functional differential equations
• Positively invariant closed sets for systems of delay-differential equations
• Theory of functional differential equations. 2nd ed
• The dynamical systems approach to differential equations
• Oscillations caused by several retarded and advanced arguments

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