Asymptotic behaviour of a two-dimensional differential system with delay under the conditions of instability

DOI10.1016/j.na.2005.03.015zbMath1078.34055OpenAlexW2081930719MaRDI QIDQ2486618

Josef Kalas

Publication date: 5 August 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.03.015

zbMATH Keywords

delay differential equationasymptotic behaviourLyapunov methodboundedness of solutionstwo-dimensional systemsWazewski's topological principle

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Related Items (8)

Stability of complex-valued impulsive system with delay ⋮ Stability of complex-valued impulsive and switching system and application to the Lü system ⋮ Asymptotic behavior analysis of complex-valued impulsive differential systems with time-varying delays ⋮ Retract principle for neutral functional differential equations ⋮ Stability analysis of complex-valued nonlinear delay differential systems ⋮ Asymptotic behaviour of a two-dimensional differential system with a finite number of nonconstant delays under the conditions of instability ⋮ Existence of solutions converging to zero for nonlinear delayed differential systems ⋮ Asymptotic behaviour of a two-dimensional differential system with non-constant delay

Cites Work

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• A topological principle for retarded functional differential equations of Caratheodory type
• Wazewski's principle for retarded functional differential equations
• Asymptotic representation of solutions of the equation \(\dot y(t)=\beta(t)[y(t)-y(t-\tau(t))\)]
• Stability and asymptotic behaviour of a two-dimensional differential system with delay
• Stability of dynamical systems in the plane
• A criterion for existence of positive solutions of systems of retarded functional differential equations
• Bounded Solutions of Dynamical Systems in the Plane under the Conditions of Instability

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