90 search results - page 1 / 18 » Algebraic general solutions of algebraic ordinary differenti... |
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...
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...
DM
2000
13 years 5 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 ...
AAECC
1998
Springer
13 years 5 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...
MOC
2002
13 years 5 months ago
2002
For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formul...