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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 494, Pages 53–55
DOI: https://doi.org/10.31857/S2686954320050392 (Mi danma117) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
Full-text PDF (97 kB) Citations (1)
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DOI: https://doi.org/10.31857/S2686954320050392
Abstract: The problem of the absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation with a linear damping term is investigated. It is proved that when the damping coefficient is nonnegative, the problem does not have global periodic solutions for any initial data, while when it is negative, the same is valid for “sufficiently large values” of the initial data.
Keywords: nonlinear evolution equation, Schrödinger equation, periodic solution, global solution, absence of periodic global solutions.
Presented: V. P. Maslov
Received: 22.06.2020
Revised: 22.06.2020
Accepted: 28.07.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 2, Pages 401–402
DOI: https://doi.org/10.1134/S1064562420050373
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: Sh. M. Nasibov, “Absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 53–55; Dokl. Math., 102:2 (2020), 401–402
Citation in format AMSBIB
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\by Sh.~M.~Nasibov
\paper Absence of global periodic solutions for a Schr\"odinger-type nonlinear evolution equation
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\vol 494
\pages 53--55
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\crossref{https://doi.org/10.31857/S2686954320050392}
\zmath{https://zbmath.org/?q=an:1477.35045}
\elib{https://elibrary.ru/item.asp?id=44344648}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 2
\pages 401--402
\crossref{https://doi.org/10.1134/S1064562420050373}
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  • https://www.mathnet.ru/eng/danma/v494/p53
    • This publication is cited in the following 1 articles:
    1. Sh. M. Nasibov, “On the absence of global periodic solutions of a Schrödinger-type nonlinear evolution equation”, Theoret. and Math. Phys., 208:1 (2021), 912–915  mathnet  crossref  crossref  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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    Full-text PDF :27
    References:19
     
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