Cover Image

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...

Full description

Saved in:

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
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Equations in a Hilbert space whose sets of solutions are invariant with respect to a group isomorphic to a one-parameter group of unitary operators
by: Yu. Sliusarchuk
Published: (2020)

Equations whose sets of solutions are invariant under a group of mappings isomorphic to a one-parameter rotation group
by: Yu. Sliusarchuk
Published: (2020)

On the isomorphism of wreath products of groups
by: Bodnarchuk, Yu. V., et al.
Published: (1994)

On isomorphically factorizable groups
by: Mishchenko, В. I., et al.
Published: (1971)

The Schur–Weyl duality for the unitary group of a II1-factor
by: M. I. Nessonov
Published: (2015)

Orbit isomorphic skeleton groups
by: Saha, S.
Published: (2023)

Conditions for Instability of an Invariant Toroidal Manifold of a Discrete Dynamical System in a Banach Space
by: Slyusarchuk, V. V., et al.
Published: (2001)

On Isomorphism Between Certain Group Algebras on the Heisenberg Group
by: M. E. Egwe, et al.
Published: (2013)

On Isomorphism Between Certain Group Algebras on the Heisenberg Group
by: Egwe, M.E., et al.
Published: (2013)

The Dirichlet Problem with Laplacian with Respect to a Measure in the Hilbert Space
by: Bogdanskii, Yu. V., et al.
Published: (2014)

On infinite groups whose noncyclic norm has a finite index
by: Liman, F. N., et al.
Published: (1997)

Theorems on instability of systems with respect to linear approximation
by: Slyusarchuk, V. E., et al.
Published: (1996)

Isomorphisms of Cayley graphs of surface groups
by: Bozejko, M., et al.
Published: (2006)

On the Isomorphic Group Algebras of Isotype Subgroups of Warfield Abelian Groups
by: Danchev, P.
Published: (2006)

Green–Samoilenko operator in the theory of invariant sets of nonlinear differential equations
by: Perestyuk, N. A., et al.
Published: (2009)

De Finetti Theorems for the Unitary Dual Group
by: Baraquin, Isabelle, et al.
Published: (2022)

Maximum principle for the Laplacian with respect to the measure in a domain of the Hilbert space
by: Bogdanskii, Yu. V., et al.
Published: (2016)

Invariant measure on a compact annular group
by: Palyutkіn, V. G., et al.
Published: (1966)

The Dirichlet Problem with Laplacian with Respect to a Measure in the Hilbert Space
by: Ju. V. Bogdanskij, et al.
Published: (2014)

The action of Sylow 2-subgroups of symmetric groups on the set of bases and the problem of isomorphism of their Cayley graphs
by: Pawlik, Bartłomiej Tadeusz
Published: (2016)

The action of Sylow 2-subgroups of symmetric groups on the set of bases and the problem of isomorphism of their Cayley graphs
by: B. Pawlik
Published: (2016)

The action of Sylow 2-subgroups of symmetric groups on the set of bases and the problem of isomorphism of their Cayley graphs
by: Pawlik, B.T.
Published: (2016)

Unitary subgroups of commutative group algebras of characteristic two
by: Zh. Baloh, et al.
Published: (2020)

Maximal Discrete Subgroups in Unitary Groups of Operator Algebras
by: Alekseev, Vadim, et al.
Published: (2022)

Unitary subgroups of commutative group algebras of characteristic two
by: Laver, V., et al.
Published: (2020)

Groups whose lattices of normal subgroups are factorial
by: Rajhi, A.
Published: (2021)

Groups whose lattices of normal subgroups are factorial
by: Rajhi, A.
Published: (2020)

Denseness of the set of Cauchy problems with nonunique solutions in the set of all Cauchy problems
by: Slyusarchuk, V. Yu., et al.
Published: (2012)

Conditions for Almost Periodicity of Bounded Solutions of Nonlinear Differential Equations Unsolved with Respect to the Derivative
by: Slyusarchuk, V. Yu., et al.
Published: (2014)

On a class of groups with invariant subgroups of the infinite index
by: Kraichuk , A. V., et al.
Published: (1988)

Maximum principle for the Laplacian with respect to the measure in a domain of the Hilbert space
by: Ju. V. Bogdanskij
Published: (2016)

On One Method for the Introduction of Local Coordinates in a Neighborhood of an Invariant Toroidal Set
by: Davydenko, A. A., et al.
Published: (2002)

On the structure of groups whose non-abelia subgroups are serial
by: M. R. Dikson, et al.
Published: (2016)

Radical algebras subgroups of whose adjoint groups are subalgebras
by: Popovich, S. V., et al.
Published: (1997)

Laplacian with respect to a measure on a Hilbert space and an L 2-version of the Dirichlet problem for the Poisson equation
by: Bogdanskii, Yu. V., et al.
Published: (2011)

Invariant measures for one class of linear stochastic systems in Hilbert spaces
by: I. H. Novak, et al.
Published: (2019)

Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
by: Calaque, D., et al.
Published: (2008)

Groups which are isomorphic to their subgroups with non-modular subgroup lattice
by: De Falco, Maria, et al.
Published: (2018)

On the isomorphic classification of the free topological groups of the non-Tychonoff spaces
by: P. M. Pyrch
Published: (2019)

Groups which are isomorphic to their subgroups with non-modular subgroup lattice
by: De Falco, M., et al.
Published: (2006)