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Stable perturbations of linear differential equations generating a uniformly bounded group. / Skazka, V. V.

In: Sbornik Mathematics, Vol. 208, No. 8, 01.01.2017, p. 1246-1259.

Research output: Contribution to journal › Article › peer-review

Harvard

Skazka, VV 2017, 'Stable perturbations of linear differential equations generating a uniformly bounded group', Sbornik Mathematics, vol. 208, no. 8, pp. 1246-1259. https://doi.org/10.1070/SM8895

APA

Skazka, V. V. (2017). Stable perturbations of linear differential equations generating a uniformly bounded group. Sbornik Mathematics, 208(8), 1246-1259. https://doi.org/10.1070/SM8895

Vancouver

Skazka VV. Stable perturbations of linear differential equations generating a uniformly bounded group. Sbornik Mathematics. 2017 Jan 1;208(8):1246-1259. doi: 10.1070/SM8895

Author

Skazka, V. V. / Stable perturbations of linear differential equations generating a uniformly bounded group. In: Sbornik Mathematics. 2017 ; Vol. 208, No. 8. pp. 1246-1259.

BibTeX

@article{6c9a34cf4481442baeca4229dbc6510c,
title = "Stable perturbations of linear differential equations generating a uniformly bounded group",
abstract = "Stability problems for solutions of the differential equation u′(t) = Au+ϵB(t, u) in a Banach space are considered. It is assumed that for ϵ = 0 this equation generates a uniformly bounded group of class C0. Sufficient conditions on B and A are found under which the solutions of this equation are bounded for small ϵ. A linearization principle is proved for this equation under certain conditions on the operator B.",
keywords = "Differential equations in a Banach space, Stability of solutions, stability of solutions, differential equations in a Banach space",
author = "Skazka, {V. V.}",
year = "2017",
month = jan,
day = "1",
doi = "10.1070/SM8895",
language = "English",
volume = "208",
pages = "1246--1259",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "8",

}

RIS

TY - JOUR

T1 - Stable perturbations of linear differential equations generating a uniformly bounded group

AU - Skazka, V. V.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Stability problems for solutions of the differential equation u′(t) = Au+ϵB(t, u) in a Banach space are considered. It is assumed that for ϵ = 0 this equation generates a uniformly bounded group of class C0. Sufficient conditions on B and A are found under which the solutions of this equation are bounded for small ϵ. A linearization principle is proved for this equation under certain conditions on the operator B.

AB - Stability problems for solutions of the differential equation u′(t) = Au+ϵB(t, u) in a Banach space are considered. It is assumed that for ϵ = 0 this equation generates a uniformly bounded group of class C0. Sufficient conditions on B and A are found under which the solutions of this equation are bounded for small ϵ. A linearization principle is proved for this equation under certain conditions on the operator B.

KW - Differential equations in a Banach space

KW - Stability of solutions

KW - stability of solutions

KW - differential equations in a Banach space

UR - http://www.scopus.com/inward/record.url?scp=85049197200&partnerID=8YFLogxK

U2 - 10.1070/SM8895

DO - 10.1070/SM8895

M3 - Article

AN - SCOPUS:85049197200

VL - 208

SP - 1246

EP - 1259

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 8

ER -

ID: 14279441