R.C. Churchill, D.L. Rod, M.F. Singer, Group Theoretic Obstructions to Integrability, Ergod. Th. and Dynam. Sys 15(1995), 15-48. Home/Search Document Details and Download
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Kovalevskaya, Liapounov, Painlevé, Ziglin and the.. - Morales-Ruiz (2000) (Correct)
....the Picard Vessiot extension is a purely transcendental extension, because G=G 0 is trivial. These are all the properties of the Lam e equation we need later. The di erential Galois approach to Ziglin s theory appeared for the rst time, independently, in [16] and [45] The papers [52, 9, 17, 53] followed. A common limitation of all these works is the restriction to Fuchsian variational equations (their singularities must be regular singular) Another problem inherent in Ziglin s original approach is that, except for 2 degrees of freedom, he only assume partial integrability but not ....
R.C. Churchill, D.L. Rod, M.F. Singer, Group Theoretic Obstructions to Integrability, Ergod. Th. and Dynam. Sys 15(1995), 15-48.
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