Nonlocal boundary-value problem for parabolic equations with variable coefficients

We study the boundary-value problem for Petrovskii parabolic equations of arbitrary order with variable coefficients with conditions nonlocal in time. We establish conditions for the existence and uniqueness of a classical solution of this problem and prove metric theorems on lower bounds of small d...

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Bibliographic Details
Date:1995
Main Authors: Zadorozhna, N. M., Ptashnik, B. I., Задорожна, П. М., Пташник, Б. Й.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1995
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5485
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal