The invariance principle for nonautonomous differential equations with discontinuous right-hand side

DOI10.1134/S0037446616040133zbMath1358.34061MaRDI QIDQ345263

Mohammad Hasan, M. Dambrine

Publication date: 1 December 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

differential equationinvariance principleFilippov solutiondiscontinuous right-hand sidelimit differential inclusion

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Discontinuous ordinary differential equations (34A36) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (4)

Method of limiting differential inclusions and asymptotic behavior of systems with relay controls ⋮ Method of limiting differential inclusions for nonautonomous discontinuous systems with delay ⋮ On the asymptotic behavior of mechanical systems with friction ⋮ Attraction for mechanical systems with friction

Cites Work

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• Limit functional-differential inclusions and the invariance principle for nonautonomous systems with delay
• Limit differential inclusions and the invariance principle for nonautonomous systems
• The Lyapunov functionals method in stability problems for functional differential equations
• Topological dynamics of an ordinary differential equation
• Topological dynamics of ordinary differential equations and Kurzweil equations
• The limiting equations of nonautonomous ordinary differential equations
• Stability theory by Liapunov's direct method
• Uniform asymptotic stability via the limiting equations
• Properties of the solution set of a generalized differential equation

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