Oscillatory behavior in linear retarded functional differential equations

DOI10.1016/0022-247X(87)90186-7zbMath0653.34047OpenAlexW2074512231MaRDI QIDQ1107705

José M. Ferreira, István Győri

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90186-7

zbMATH Keywords

oscillatory propertieslinear differential-difference systemlinear retarded functional differential systemsnonautonomous functional differential equations

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 (12)

Oscillatory behaviour in functional differential systems of neutral type ⋮ Oscillation in dynamical systems ⋮ Stability of dynamic groups in distributed computing systems ⋮ New conditions for the exponential stability of nonlinear differential equations ⋮ Oscillations of linear autonomous systems of difference equations ⋮ Unnamed Item ⋮ Nonoscillations for odd-dimensional systems of linear retarded functional differential equations. ⋮ Oscillations of certain delay integro-differential equations ⋮ Oscillations in vector spaces: A comparison result for monotone delay differential systems ⋮ Invariant cones of positive initial functions for delay differential equations ⋮ Order and oscillation in delay differential systems ⋮ Necessary and sufficient condition for oscillation of a neutral differential system with several delays

Cites Work

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• When all solutions of \(x'=-\Sigma q_ i(t)x(t-T_ i(t))\) oscillate
• On the oscillatory behaviour of solutions of certain nonlinear and linear delay differential equations
• Necessary and Sufficient Conditions for Oscillations of Higher Order Delay Differential Equations
• Oscillations in linear systems of differential-difference equations
• Class of functional equations with applications
• Sharp conditions for oscillations caused by delays
• Oscillations caused by several retarded and advanced arguments

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