학술논문

Application of the Second Lyapunov Method for Getting the Conditions of Stability in Systems with Quadratic Right-Hand Side.
Document Type
Article
Source
Ukrainian Mathematical Journal. May2024, Vol. 75 Issue 12, p1918-1931. 14p.
Subject
*NONLINEAR differential equations
*NONLINEAR equations
*QUADRATIC differentials
Language
ISSN
0041-5995
Abstract
By using the apparatus of Lyapunov's direct method with a function from the class of quadratic forms, we establish algebraic sufficient conditions for the stability of trivial solutions to the nonlinear systems of differential equations of the second and third orders. [ABSTRACT FROM AUTHOR]