Stable perturbations of linear differential equations generating a uniformly bounded group

V. V. Skazka

doi:10.1070/SM8895

Stable perturbations of linear differential equations generating a uniformly bounded group

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	1246-1259
Число страниц	14
Журнал	Sbornik Mathematics
Том	208
Номер выпуска	8
DOI	https://doi.org/10.1070/SM8895
Состояние	Опубликовано - 1 янв. 2017

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10.1070/SM8895

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