Picard-Vessiot theory and integrability

被引:15
|
作者
Morales-Ruiz, Juan J. [1 ]
机构
[1] Tech Univ Madrid, Madrid, Spain
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
收藏
页码:314 / 343
页数:30
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