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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 122, Number 3, Pages 357–371
DOI: https://doi.org/10.4213/tmf572 (Mi tmf572) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Solution of the operator equation $i\varepsilon dy/dt=A(t)y$ on intervals containing turning points

E. A. Grinina

V. A. Fock Institute of Physics, Saint-Petersburg State University
Full-text PDF (242 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf572
Abstract: We obtain formal solutions of the equation $i\varepsilon dy/dt=A(t)y$ in the form of complete asymptotic expansions as $\varepsilon\to0$ on intervals containing parabolic or hyperbolic turning points. The highest orders of the power series in $\varepsilon$ for the formal solutions are studied in detail.
Received: 15.04.1999
Revised: 16.09.1999
English version:
Theoretical and Mathematical Physics, 2000, Volume 122, Issue 3, Pages 298–311
DOI: https://doi.org/10.1007/BF02551243
Bibliographic databases:
Language: Russian
Citation: E. A. Grinina, “Solution of the operator equation $i\varepsilon dy/dt=A(t)y$ on intervals containing turning points”, TMF, 122:3 (2000), 357–371; Theoret. and Math. Phys., 122:3 (2000), 298–311
Citation in format AMSBIB
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\by E.~A.~Grinina
\paper Solution of the operator equation $i\varepsilon dy/dt=A(t)y$ on intervals containing turning points
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\vol 122
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\pages 357--371
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\transl
\jour Theoret. and Math. Phys.
\yr 2000
\vol 122
\issue 3
\pages 298--311
\crossref{https://doi.org/10.1007/BF02551243}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000087497000003}
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  • https://www.mathnet.ru/eng/tmf/v122/i3/p357
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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