Non-integrability by quadratures and formal asymptotic solutions of the Riccati equation

被引：0

作者：

Stepin, S. A. ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

[2] Univ Bialystok, Inst Math, Bialystok, Poland

来源：

关键词：

D O I：

10.1070/RM2014v069n06ABEH004929

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：1123 / 1125

页数：3

共 50 条

[1] Non-integrability by discrete quadratures
Casale, Guy
Roques, Julien
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2014, 687 : 87 - 112
[2] ON DARBOUX NON-INTEGRABILITY OF HIETARINTA EQUATION
Startsev, S. Ya
UFA MATHEMATICAL JOURNAL, 2021, 13 (02): : 160 - 169
[3] Integrability, non-integrability and confinement
Mussardo, G.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2011,
[4] On asymptotic forms of solutions to the Riccati equation
Samovol, V. S.
ASYMPTOTIC ANALYSIS, 2019, 115 (3-4) : 223 - 239
[5] Asymptotic Expansions of Solutions to the Riccati Equation
V. S. Samovol
Doklady Mathematics, 2020, 101 : 49 - 52
[6] Asymptotic Analysis of Solutions to a Riccati Equation
V. S. Samovol
Doklady Mathematics, 2018, 97 : 250 - 253
[7] Asymptotic Expansions of Solutions to the Riccati Equation
Samovol, V. S.
DOKLADY MATHEMATICS, 2020, 101 (01) : 49 - 52
[8] Asymptotic Analysis of Solutions to a Riccati Equation
Samovol, V. S.
DOKLADY MATHEMATICS, 2018, 97 (03) : 250 - 253
[9] Non-integrability of the second Painleve equation as a Hamiltonian system
Stoyanova, T.
Christov, O.
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2007, 60 (01): : 13 - 18
[10] On the integrability of the Riccati equation
Gomez S, Cesar A.
DIFFERENTIAL ALGEBRA, COMPLEX ANALYSIS AND ORTHOGONAL POLYNOMIALS, 2010, 509 : 87 - 93