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Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 1, Pages 39–62
DOI: https://doi.org/10.1070/IM1989v032n01ABEH000733 (Mi im1167) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems

S. B. Kuksin
English version PDF (1145 kB) Citations (22)
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DOI: https://doi.org/10.1070/IM1989v032n01ABEH000733
Abstract: A theorem on preservation of quasiperiodic solutions under small perturbations of the Hamiltonian is proved for a certain class of infinite-dimensional Hamiltonian systems. Hamiltonian perturbations of the one-dimensional Schrödinger equation are considered as examples.
Bibliography: 10 titles.
Received: 29.01.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 1, Pages 41–63
Bibliographic databases:
UDC: 517.957
MSC: Primary 58F05, 58F30, 58F27; Secondary 35J10, 70H99
Language: English
Original paper language: Russian
Citation: S. B. Kuksin, “Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems”, Izv. Akad. Nauk SSSR Ser. Mat., 52:1 (1988), 41–63; Math. USSR-Izv., 32:1 (1989), 39–62
Citation in format AMSBIB
\Bibitem{Kuk88}
\by S.~B.~Kuksin
\paper Perturbation of quasiperiodic solutions of infinite-dimensional Hamiltonian systems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 1
\pages 41--63
\mathnet{http://mi.mathnet.ru/im1167}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=936522}
\zmath{https://zbmath.org/?q=an:0667.58060|0662.58036}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 1
\pages 39--62
\crossref{https://doi.org/10.1070/IM1989v032n01ABEH000733}
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  • https://www.mathnet.ru/eng/im/v52/i1/p41
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:493
    Russian version PDF:164
    English version PDF:36
    References:86
    First page:1
     
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