First Order Algebraic Differential Equations
First Order Algebraic Differential Equations A Differential Algebraic Approach / [electronic resource] :
edited by Michihiko Matsuda.
- VI, 111 p. online resource.
- Lecture Notes in Mathematics, 804 0075-8434 ; .
- Lecture Notes in Mathematics, 804 .
Differential algebraic function field of one variable -- Movable singularities -- Fuchs' theorem -- Extensions of the coefficient field -- Briot-Bouquet's theorem -- Clairaut fields -- Poincaré fields -- Analogs of addition formulae for elliptic functions -- Poincaré fields generated by the constants -- Poincaré fields of characteristic 0 -- Automorphisms of an elliptic field -- Differential automorphisms -- Differential automorphisms of a Poincaré field -- Riccati fields of characteristic 0 -- Weierstrass points -- Clairaut fields of characteristic 0 -- Movable singularities in case of characteristic 0 -- Differential Lefschetz principle.
9783540393115
10.1007/BFb0091495 doi
Global analysis (Mathematics).
Analysis.
QA299.6-433
515
Differential algebraic function field of one variable -- Movable singularities -- Fuchs' theorem -- Extensions of the coefficient field -- Briot-Bouquet's theorem -- Clairaut fields -- Poincaré fields -- Analogs of addition formulae for elliptic functions -- Poincaré fields generated by the constants -- Poincaré fields of characteristic 0 -- Automorphisms of an elliptic field -- Differential automorphisms -- Differential automorphisms of a Poincaré field -- Riccati fields of characteristic 0 -- Weierstrass points -- Clairaut fields of characteristic 0 -- Movable singularities in case of characteristic 0 -- Differential Lefschetz principle.
9783540393115
10.1007/BFb0091495 doi
Global analysis (Mathematics).
Analysis.
QA299.6-433
515