Picard-Vessiot theory and integrability

被引：16

作者：

Morales-Ruiz, Juan J. ^{[1
]}

机构：

[1] Tech Univ Madrid, Madrid, Spain

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2015年 / 87卷

关键词：

Differential Galois Theory; Picard-Vessiot theory; Integrability of dynamical systems; Schrodinger equation; Riccati equation Liouvillian solution; DIFFERENTIAL GALOIS THEORY; HAMILTONIAN-SYSTEMS; FINITE-GAP; NONINTEGRABILITY; POTENTIALS; EQUATIONS; NONEXISTENCE;

D O I：

10.1016/j.geomphys.2014.07.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We survey some recent applications of the Differential Galois Theory of linear differential equations to the integrability (or solvability) of Dynamical Systems and Spectral Problems. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：314 / 343

页数：30