59 search results - page 1 / 12 » Bounds and algebraic algorithms in differential algebra: the... |
DAGSTUHL
2006
13 years 6 months ago
2006
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...
MOC
2002
13 years 4 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...
AMC
2005
13 years 4 months ago
2005
This paper presents a new symbolic algorithm to compute the singular initial value problem of second-order ordinary differential equations using Adomian decomposition method. The ...