S. G. Bulanov, “Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2023, Volume 224,Pages <nobr>10

This article is cited in 1 paper

Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations

S. G. Bulanov^ab

^a A.P. Chekhov Taganrog Institute (branch) of Rostov State Economical University
^b Rostov State University of Economics

Abstract: Necessary and sufficient criteria of Lyapunov stability for systems of ordinary differential equations are obtained. The criteria are obtained in the multiplicative form based on the transformation of difference schemes for numerical integration and are converted to the additive and integral forms. The formal restrictions for these criteria are constructed and their applicability conditions are indicated.

Keywords: Lyapunov stability, computer stability analysis, numerical modeling of stability.

UDC: 519.6

MSC: 34D20

DOI: 10.36535/0233-6723-2023-224-10-18