Abstract:
The notions of Poisson boundedness and Poisson partial boundedness of solutions of systems are introduced. Based on the Lyapunov function method and Krasnosel'skii's method of canonical domains, a sufficient condition for the existence of Poisson bounded solutions is obtained.
Keywords:Poisson bounded solution, partially bounded solution, existence of solutions, Lyapunov function, Krasnosel'skii canonical domain.
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