On a development of the comparison principle in the stability theory of motion

Anatoliy Martynyuk, Gani Stamov, Ivanka Stamova


In this paper, conditions for different types of stability of the zero solution of a nonautonomous nonlinear comparison equation are established, and on this basis the corresponding stability results for the zero solution of the original system of differential equations are obtained. A development of the comparison principle, related to a generalized estimate of the total derivative of a Lyapunov-type auxiliary function with respect to the system under investigation is considered.

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DOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1410