most citedOn Mitropol'skii Yu.A.'s Theorem on Periodic Solutions of Systems of Nonlinear Differential Equations with Non-Differentiable Right-Hand-Sides

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math.CA2008★ 1 cited

On Mitropol'skii Yu.A.'s Theorem on Periodic Solutions of Systems of Nonlinear Differential Equations with Non-Differentiable Right-Hand-Sides

Adriana Buica, Jaume Llibre, Oleg Makarenkov

The smooth second Bogolyubov's theorem is generalized for Lipschitz systems.

math.CA2007

Asymptotic stability of periodic solutions for nonsmooth differential equations with application to the nonsmooth van der Pol oscillator

Adriana Buica, Jaume Llibre, Oleg Makarenkov

In this paper we study the existence, uniqueness and asymptotic stability of the periodic solutions for a Lipschitz system with a small right hand side. Classical hypotheses in the…