On Gevrey orders of formal power series solutions to the third and fifth Painlevé equations near infinity

• Autorzy: Parusnikova A. V.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.3.591

• Języki publikacji: EN

Abstrakty

EN

The question under consideration is Gevrey summability of formal power series solutions to the third and fifth Painlevé equations near infinity.We consider the fifth Painlevé equation in two cases: when αβγδ ≠ 0 and when αβγ ≠ 0, δ =0 and the third Painlevé equation when all the parameters of the equation are not equal to zero. In the paper we prove Gevrey summability of the formal solutions to the fifth Painlevé equation and to the third Painlevé equation, respectively.

Słowa kluczowe

EN

Painleve equations; Newton polygon; asymptotic expansions; Gevrey orders

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 3
• Strony: 591--599
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Parusnikova A. V.

• National Research University Higher School of Economics Bolshoi Trekhsvjatitelskii per. 3, Moscow, 109028, Russia

Bibliografia

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