Russian Mathematics

, Volume 63, Issue 9, pp 31–42 | Cite as

The Aizerman Problem for Scalar Differential Equations

  • B. S. KalitineEmail author


We study the stability of the equilibrium point of a scalar differential equation of an n-th order. We obtain a positive solution to the Aizerman problem for special-type equations. We prove that one can replace the parameter in the real part of the root of the characteristic equation with an arbitrary continuous function, which depends on all phase variables and preserves the global asymptotic stability property.

Key words

scalar differential equation equilibrium stability Lyapunov function 


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Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Belarusian State UniversityMinskRepublic of Belarus

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