Vector Lyapunov Functions and Ultimate Poisson Boundedness of Solutions of Systems of Differential Equations

Uniform-ultimate Poisson boundedness of solutions of P-perturbed systems of differential equations

“…The theory of boundedness of solutions in the Poisson sense was developed in [2][3][4][5]. It generalizes the usual theory of boundedness of solutions for systems of differential equations [7].…”

“…In [5], based on the Lyapunov vector function method [6], the following sufficient condition for the uniform-ultimate Poisson boundedness of solutions of the system (1.1) was obtained.…”