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О случае кратных корней характеристического операторного многочлена линейного однородного дифференциального уравнения n-го порядка с постоянными ограниченными операторными коэффициентами в банаховом пространстве

О случае кратных корней характеристического операторного многочлена линейного однородного дифференциального уравнения n-го порядка с постоянными ограниченными операторными коэффициентами в банаховом пространстве

Abstract

Получена формула общего решения линейного однородного дифференциального уравнения n-го порядка в банаховом пространстве в случае кратных корней характеристического операторного многочлена.Es ist die Formel der Gesamtlösung der linearen gleichartigen Differentialgleichung der n-Ordnung im Banachischen Raum im Fall der Divisibelwurzeln des charakteristischen Operatorenpolynomes erhalten.Est reçue la formule pour la solution générale de léquation différentielle uniforme non-linéaire de lordre-n dans le cas des racines multiples du polynôme caractéristique opérateur.Formula for general solution of the linear homogeneous differential equation of the n-order in Banach space in case of multiple roots of a characteristic operational polynominal is obtained.

Keywords

БАНАХОВО ПРОСТРАНСТВО, ЗАДАЧА КОШИ, ХАРАКТЕРИСТИЧЕСКИЙ ОПЕРАТОРНЫЙ МНОГОЧЛЕН, КРАТНЫЙ КОРЕНЬ, ОБЩЕЕ РЕШЕНИЕ, ОПЕРАТОРНЫЙ ОПРЕДЕЛИТЕЛЬ, ОПЕРАТОРНО-ВЕКТОРНОЕ ПРАВИЛО КРАМЕРА, OPERATOR-VECTOR CRAMER'S RULE

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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