Birational transformations preserving rational solutions of algebraic ordinary differential equations

[1]  Franz Winkler,et al.  Rational general solutions of planar rational systems of autonomous ODEs☆ , 2011, J. Symb. Comput..

[2]  J. Rafael Sendra,et al.  On Symbolic Solutions of Algebraic Partial Differential Equations , 2014, CASC.

[3]  Xiao-Shan Gao,et al.  Rational general solutions of algebraic ordinary differential equations , 2004, ISSAC '04.

[4]  Georg Grasegger.  Radical solutions of first order autonomous algebraic ordinary differential equations , 2014, ISSAC.

[5]  Xiao-Shan Gao,et al.  A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs , 2006, J. Symb. Comput..

[6]  Franz Winkler,et al.  Rational general solutions of first order non-autonomous parametrizable ODEs , 2010, J. Symb. Comput..

[7]  Marius van der Put,et al.  Equivalence of differential equations of order one , 2013, J. Symb. Comput..

[8]  Alexandre Eremenko.  RATIONAL SOLUTIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONS , 1998 .

[9]  Franz Winkler,et al.  Rational general solutions of higher order algebraic odes , 2013, J. Syst. Sci. Complex..

[10]  Franz Winkler,et al.  Classification of algebraic ODEs with respect to rational solvability , 2012 .

[11]  I. Shafarevich.  Algebraic Geometry II , 1996 .

[12]  Franz Winkler,et al.  Rational General Solutions of Systems of Autonomous Ordinary Differential Equations of Algebro-Geometric Dimension One , 2015 .

[13]  Franz Winkler,et al.  Rational General Solutions of Trivariate Rational Differential Systems , 2012, Math. Comput. Sci..

[14]  Evelyne Hubert,et al.  The general solution of an ordinary differential equation , 1996, ISSAC '96.

[15]  Volker Mehrmann,et al.  Differential-Algebraic Equations: Analysis and Numerical Solution , 2006 .

[16]  L. X. C. Ngô.  Birational Transformations on Algebraic Ordinary Differential Equations , 2012 .

[17]  J. Ritt.  Partial differential algebra , 1950 .