20 search results - page 1 / 4 » Rational general solutions of algebraic ordinary differentia... |
ISSAC
2004
Springer
13 years 10 months ago
2004
Springer
We give a necessary and sufficient condition for an algebraic ODE to have a rational type general solution. For an autonomous first order ODE, we give an algorithm to compute a r...
ISSAC
2005
Springer
13 years 10 months ago
2005
Springer
In this paper, we give a necessary and sufficient condition for an algebraic ODE to have an algebraic general solution. For an autonomous first order ODE, we give an optimized bo...
DM
2000
13 years 4 months ago
2000
The transformation which assigns to a linear operator L the recurrence satisfied by coefficient sequences of the polynomial series in its kernel, is shown to be an isomorphism of ...
ISSAC
1993
Springer
13 years 9 months ago
1993
Springer
Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
AAECC
1998
Springer
13 years 4 months ago
1998
Springer
We describe a new approach of the generalized Bezout identity for linear time-varying ordinary differential control systems. We also explain when and how it can be extended to line...