On a Problem Posed by Vladimir Ivanovich Zubov


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Abstract

We obtain sufficient conditions for a globally asymptotically stable autonomous system of differential equations in ℝn to have an ω-periodic solution under an arbitrary ω-periodic perturbation.

About the authors

A. I. Perov

Voronezh State University

Author for correspondence.
Email: anperov@mail.ru
Russian Federation, Voronezh, 394006

V. K. Kaverina

Voronezh State Technical University

Email: anperov@mail.ru
Russian Federation, Voronezh, 394026

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