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Quasiperiodic Extremals of Nonautonomous Lagrangian Systems on Riemannian Manifolds

The paper deals with a quasiperiodically excited natural Lagrangian system on a Riemannian manifold. We find sufficient conditions under which this system has a weak Besicovitch quasiperiodic solution minimizing the averaged Lagrangian. It is proved that this solution is indeed a twice continuously...

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Bibliographic Details
Date:	2014
Main Authors:	Parasyuk, I. O., Парасюк, І. О.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2014
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2230
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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