- Tytuł:
- On Gevrey orders of formal power series solutions to the third and fifth Painlevé equations near infinity
- Autorzy:
- Parusnikova, A. V.
- Powiązania:
- https://bibliotekanauki.pl/articles/1397832.pdf
- Data publikacji:
- 2014
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Painleve equations
Newton polygon
asymptotic expansions
Gevrey orders - Opis:
- 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 $\alpha\beta\gamma\delta \ne 0 $ and when $\alpha\beta\gamma \ne 0, \delta = 0$ 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.
- Źródło:
-
Opuscula Mathematica; 2014, 34, 3; 591-599
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł