Abstract:
On the basis of the vector Lyapunov functions method and the Krasnoselskii method of canonical domains, a sufficient condition for the existence of non-negative Poisson bounded solutions is obtained. In addition, a sufficient condition for the existence of partially non-negative partially Poisson bounded solutions is obtained.
Keywords:vector Lyapunov function, Krasnosel'skii canonical domain, Poisson boundedness of solution, partial Poisson boundedness of solution, non-negativity of solution.
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