On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations

The paper is concerned with the exponential stability of the zero solution of strongly nonautonomous parabolic equations. Conditions are found on time-dependent coefficients of a parabolic equation under which its solutions converge exponentially to 0 as t → ∞. Розглядається експоненціальна стійкіст...

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Published in:Український математичний журнал
Date:2002
Main Authors: Tran Thi Loan, Nguyen Manh Hung
Format: Article
Language:English
Published: Інститут математики НАН України 2002
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/164623
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations / Tran Thi Loan, Nguyen Manh Hung // Український математичний журнал. — 2002. — Т. 54, № 12. — С. 1714–1719. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine