Stability and asymptotic behaviour of a two-dimensional differential system with delay

DOI10.1016/S0022-247X(02)00023-9zbMath1008.34064MaRDI QIDQ1604607

Lenka Baráková, Josef Kalas

Publication date: 8 July 2002

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

zbMATH Keywords

stabilityasymptotic behaviourboundedness of solutionstwo-dimensional system

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Related Items (7)

Stability of complex-valued impulsive system with delay ⋮ Stability of complex-valued impulsive and switching system and application to the Lü system ⋮ 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 ⋮ Asymptotic behaviour of a two-dimensional differential system with non-constant delay ⋮ Asymptotic behaviour of a two-dimensional differential system with delay under the conditions of instability ⋮ Stability of a functional differential system with a finite number of delays

Cites Work

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• Theory of functional differential equations. 2nd ed
• The asymptotic bounds of solutions of linear delay systems
• Introduction to functional differential equations
• Asymptotic representation of solutions of the equation \(\dot y(t)=\beta(t)[y(t)-y(t-\tau(t))\)]
• Stability of dynamical systems in the plane
• A criterion for existence of positive solutions of systems of retarded functional differential equations
• A criterion for convergence of solutions of homogeneous delay linear differential equations

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