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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 2(31), Pages 200–205
DOI: https://doi.org/10.14498/vsgtu1240 (Mi vsgtu1240) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory

Representation of Friedmann equation solution in form of generalized Dirichlet series

È. A. Kuryanovich

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, 119991, Russia
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1240
Abstract: The cosmological Friedmann equation for the Universe, filled by scalar field with the quadratic potential, is reduced to the system of two first-order equations, one having the separable variables. The boundary-value problem with data at infinity is formulated for the second equation. The solution of this problem is represented in form of generalized Dirichlet series. The existence of classical solution in this form at the neighborhood of infinity is proved.
Keywords: Friedmann equation, scalar field with the quadratic potential, global solutions, asymptotic behavior of solutions.
Original article submitted 01/IV/2013
revision submitted – 01/V/2013
Bibliographic databases:
Document Type: Proceedings
UDC: 517.958:524.83
MSC: Primary 83F05; Secondary 30B50, 30D10, 58J32
Language: Russian
Citation: È. A. Kuryanovich, “Representation of Friedmann equation solution in form of generalized Dirichlet series”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 200–205
Citation in format AMSBIB
\Bibitem{Kur13}
\by \`E.~A.~Kuryanovich
\paper Representation of Friedmann equation solution in form of generalized Dirichlet series
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 2(31)
\pages 200--205
\mathnet{http://mi.mathnet.ru/vsgtu1240}
\crossref{https://doi.org/10.14498/vsgtu1240}
\elib{https://elibrary.ru/item.asp?id=20236357}
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  • https://www.mathnet.ru/eng/vsgtu/v131/p200
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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