65 search results - page 1 / 13 » Non-negative solutions of ODEs |
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...
GIAE
2004
Springer
13 years 10 months ago
2004
Springer
For a first order autonomous ODE, we give a polynomial time algorithm to decide whether it has a polynomial general solution and to compute one if it exists. Experiments show that...
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
There exist sound literature and algorithms for computing Liouvillian solutions for the important problem of linear ODEs with rational coefficients. Taking as sample the 363 secon...
PCS
2011
12 years 11 months ago
2011
The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its applicability to the parametric solution of underdetermined linear ordinary di...