Lipschitzian invariant tori of indefinite monotone system

We consider a nonlinear system in the direct product of a torus and a Euclidean space. For this system, under the conditions of indefinite coercivity and indefinite monotonicity, we establish the existence of a Lipschitzian invariant section.

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Bibliographic Details
Date:2012
Main Authors: Lagoda, V. A., Parasyuk, I. O., Samoilenko, A. M., Лагода, В. А., Парасюк, І. О., Самойленко, А. М.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2012
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2582
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal