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Matematicheskie Zametki, 2018, Volume 103, Issue 4, paper published in the English version journal (Mi mzm12030)  
Papers published in the English version of the journal

Majorant Method for the Evolution Differential Equations in Sequence Spaces

O. Zubelevich

Lomonosov Moscow State University, Moscow, Russia
Abstract: We consider evolution differential equations in sequence spaces and construct a version of the majorant function method to prove existence theorems. We also develop a theory of lower estimates. This theory allows us to study instability and blowups. Applications to stability theory are discussed.
Keywords: Cauchy–Kovalevskaya problem, infinite-dimensional evolution equations, infinite-order ODE system, countable ODE system.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03747
This work was supported by the Russian Foundation for Basic Research under grant 15-01-03747.
Received: 27.02.2017
Revised: 10.07.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 4, Pages 565–582
DOI: https://doi.org/10.1134/S0001434618030239
Bibliographic databases:
Document Type: Article
Language: English
Citation: O. Zubelevich, “Majorant Method for the Evolution Differential Equations in Sequence Spaces”, Math. Notes, 103:4 (2018), 565–582
Citation in format AMSBIB
\Bibitem{Zub18}
\by O.~Zubelevich
\paper Majorant Method for the Evolution Differential Equations
in Sequence Spaces
\jour Math. Notes
\yr 2018
\vol 103
\issue 4
\pages 565--582
\mathnet{http://mi.mathnet.ru/mzm12030}
\crossref{https://doi.org/10.1134/S0001434618030239}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3789108}
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\elib{https://elibrary.ru/item.asp?id=35483206}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85046341628}
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