Geodesic
Representation of Friedmann equation solution in form of generalized Dirichlet series
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 131 (2013) no. 2, pp. 200-205 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, asymptotic behavior of solutions.
Mots-clés : global solutions 
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È. A. Kuryanovich. Representation of Friedmann equation solution in form of generalized Dirichlet series. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 131 (2013) no. 2, pp. 200-205. http://geodesic.mathdoc.fr/item/VSGTU_2013_131_2_a22/

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