Representation of Friedmann equation solution in form of generalized Dirichlet series

Representation of Friedmann equation solution in form of generalized Dirichlet series

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 o...

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Main Author: È. A. Kuryanovich
Format: Article
Language:English
Published: Samara State Technical University 2013-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1240
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spelling doaj-17523f3d0a224f159768e478675ba1c42020-11-25T01:42:22ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-06-012(31)20020510.14498/vsgtu1240 Representation of Friedmann equation solution in form of generalized Dirichlet seriesÈ. A. KuryanovichThe 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.http://mi.mathnet.ru/eng/vsgtu1240
collection DOAJ
language English
format Article
sources DOAJ
author È. A. Kuryanovich
spellingShingle È. A. Kuryanovich
Representation of Friedmann equation solution in form of generalized Dirichlet series
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet È. A. Kuryanovich
author_sort È. A. Kuryanovich
title Representation of Friedmann equation solution in form of generalized Dirichlet series
title_short Representation of Friedmann equation solution in form of generalized Dirichlet series
title_full Representation of Friedmann equation solution in form of generalized Dirichlet series
title_fullStr Representation of Friedmann equation solution in form of generalized Dirichlet series
title_full_unstemmed Representation of Friedmann equation solution in form of generalized Dirichlet series
title_sort representation of friedmann equation solution in form of generalized dirichlet series
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2013-06-01
description 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.
url http://mi.mathnet.ru/eng/vsgtu1240
work_keys_str_mv AT eakuryanovich representationoffriedmannequationsolutioninformofgeneralizeddirichletseries
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