Abstract:
On the basis of the method of guiding functional families and the method of Lyapunov vector functions we obtain sufficient condition for the existence of Poisson bounded solutions, as well as a sufficient condition for the existence of partially Poisson bounded solutions of systems of differential equations.
Keywords:vector Lyapunov function, rotation of the vector field, guiding function, guiding function, guiding functional family, Poisson boundedness of solution, partial Poisson boundedness of solution.
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