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Mathematics of the USSR-Izvestiya, 1985, Volume 25, Issue 2, Pages 315–357
DOI: https://doi.org/10.1070/IM1985v025n02ABEH001284 (Mi im1505) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Singular perturbation theory for systems of differential equations in the case of multiple spectrum of the limit operator. I, II

A. G. Eliseev
English version PDF (1479 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM1985v025n02ABEH001284
Abstract: A method is studied for constructing a regularized asymptotic expression for the solution of a Cauchy problem in the case of a multiple spectrum. The paper consists of two parts. The first part deals with the case when the operator is similar to a single Jordan cell, and the second with the case when the operator is similar to an operator with several Jordan cells. In both cases the structure matrix does not have degeneracies. The structure of a fundamental system of solutions is presented.
Bibliography: 13 titles.
Received: 22.01.1982
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1984, Volume 48, Issue 5, Pages 999–1041
Bibliographic databases:
UDC: 517.91/93
MSC: Primary 34A10, 34E05, 34E15, 34G10; Secondary 47A53, 47A55
Language: English
Original paper language: Russian
Citation: A. G. Eliseev, “Singular perturbation theory for systems of differential equations in the case of multiple spectrum of the limit operator. I, II”, Izv. Akad. Nauk SSSR Ser. Mat., 48:5 (1984), 999–1041; Math. USSR-Izv., 25:2 (1985), 315–357
Citation in format AMSBIB
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\by A.~G.~Eliseev
\paper Singular perturbation theory for systems of differential equations in the case of multiple spectrum of the limit operator.~I,~II
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 5
\pages 999--1041
\mathnet{http://mi.mathnet.ru/im1505}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=764307}
\zmath{https://zbmath.org/?q=an:0604.34033}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 2
\pages 315--357
\crossref{https://doi.org/10.1070/IM1985v025n02ABEH001284}
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  • https://www.mathnet.ru/eng/im/v48/i5/p999
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:377
    Russian version PDF:138
    English version PDF:24
    References:80
    First page:1
     
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