On global asymptotic stability of solutions of a system of ordinary differential equations

M. Yu. Filimonov
To investigate global asymptotic stability in general of an equilibrium position of an autonomous system of ordinary differential equations, considered by V.A. Pliss, a function different from the Lyapunov functions is applied. V.A. Pliss proved that for this system it is impossible to construct the Lyapunov function as a sum of a quadratic form and an integral of some nonlinear function defined by the right-hand side of the system.
doi:10.1063/1.5013976 fatcat:vuszpvtq4nherfecj5j74ocgce