- Tytuł:
- q-analogue of summability of formal solutions of some linear q-difference-differential equations
- Autorzy:
-
Tahara, H.
Yamazawa, H. - Powiązania:
- https://bibliotekanauki.pl/articles/1397578.pdf
- Data publikacji:
- 2015
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
q-difference-differential equations
summability
formal power series solutions
q-Gevrey asymptotic expansions
q-Laplace transform - Opis:
- Let q > 1. The paper considers a linear q-difference-differential equation: it is a q-difference equation in the time variable t, and a partial differential equation in the space variable z. Under suitable conditions and by using q-Borel and q-Laplace transforms (introduced by J.-P. Ramis and C. Zhang), the authors show that if it has a formal power series solution X(t, z) one can construct an actual holomorphic solution which admits X(t, z) as a q-Gevrey asymptotic expansion of order 1.
- Źródło:
-
Opuscula Mathematica; 2015, 35, 5; 713-738
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
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