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Mathematics of the USSR-Sbornik, 1988, Volume 61, Issue 2, Pages 335–349
DOI: https://doi.org/10.1070/SM1988v061n02ABEH003211 (Mi sm2572) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Exponentially splittable hyperbolic systems with two independent variables

R. K. Romanovskii
English version PDF (769 kB) Citations (20)
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DOI: https://doi.org/10.1070/SM1988v061n02ABEH003211
Abstract: A property of hyperbolic systems which is an analogue of the property of exponential dichotomy for ordinary differential equations is studied. Exponentially decaying Green matrices of first and second kind are the main tool. Bounded solutions of e-splittable systems and projections in phase space of the Cauchy problem which describe the dichotomy of the solutions are constructed; the equivalence of the properties of e-splittability and regularity and preservation of e-splittability under small perturbations of the system are established.
Bibliography: 11 titles.
Received: 31.01.1986
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1987, Volume 133(175), Number 3(7), Pages 341–355
Bibliographic databases:
UDC: 517.9
MSC: Primary 35L45; Secondary 35R99
Language: English
Original paper language: Russian
Citation: R. K. Romanovskii, “Exponentially splittable hyperbolic systems with two independent variables”, Mat. Sb. (N.S.), 133(175):3(7) (1987), 341–355; Math. USSR-Sb., 61:2 (1988), 335–349
Citation in format AMSBIB
\Bibitem{Rom87}
\by R.~K.~Romanovskii
\paper Exponentially splittable hyperbolic systems with two independent variables
\jour Mat. Sb. (N.S.)
\yr 1987
\vol 133(175)
\issue 3(7)
\pages 341--355
\mathnet{http://mi.mathnet.ru/sm2572}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=909856}
\zmath{https://zbmath.org/?q=an:0686.35070|0658.35060}
\transl
\jour Math. USSR-Sb.
\yr 1988
\vol 61
\issue 2
\pages 335--349
\crossref{https://doi.org/10.1070/SM1988v061n02ABEH003211}
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  • https://www.mathnet.ru/eng/sm/v175/i3/p341
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:296
    Russian version PDF:101
    English version PDF:6
    References:29
    First page:1
     
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