Short communications

On stability of solutions to certain differential equations with discontinuous right-hand sides

V. I. Bezyaev

Department of Applied Mathematics, Peoples Friendship University of Russia (RUDN University), 6 Miklukho Maklay St, Moscow, 117198, Russia

Abstract: For a class of nonlinear nonautonomous systems of differential equations with discontinuous right-hand sides effective conditions for stability and instability of their solutions are given.

Keywords and phrases: stability and instability of solutions, differential equations and systems with discontinuous right-hand sides, normal matrices.

MSC: 34D20

Received: 10.06.2016

Language: English

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