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Equations in a Hilbert space whose solution sets are invariant with respect to a group isomorphic to a one-parameter group of unitary operators

We construct classes of equations in a Hilbert space whose sets of solution are invariant with respect to a group isomorphic to a one-parameter group of unitary operators. It is shown that the unbounded solutions of these equations are unstable. The applications of the obtained results to nonlinear...

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Bibliographic Details
Date:	2020
Main Authors:	Slyusarchuk, V. Yu., Слюсарчук, В. Ю.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2020
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/687
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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