Mutual spectrum of commutating conjugate operators and correctness and stability criteria for differential-operator equations

Tests are established for the propriety of the Cauchy problem, the stability, stabilization, asymptotic stability, and exponential stability for the equation $y'' + By' + By = 0, t \in [0, +\infty)$, where $A$ and $B$ are arbitrary commuting self-adjoint operators on a sep...

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Bibliographic Details
Date:1991
Main Authors: Shklyar , A. Ya., Шкляр , А. Я.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1991
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9623
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal