RT info:eu-repo/semantics/article
T1 Algebraic general solutions of algebraic ordinary differential equations
A1 Aroca Hernández-Ros, José Manuel
A1 Cano Torres, José María
A1 Feng, Ruyong
A1 Gao, X.S.
K1 Matemáticas
K1 Algebra; Algorithms; Computation theory; Polynomials; Algebraic curve; Algebraic differential equation; Algebraic general solution; First order autonomous ODE; Hermite-Padé approximants; Ordinary differential equations
K1 1201 Álgebra
K1 1204 Geometría
AB In this paper, we give a necessary and sufficient condition for an algebraic ODE to have an algebraic general solution. For a first; order autonomous ODE, we give an optimal bound for the degree of its algebraic general solutions and a polynomial-time algorithm to compute an algebraic general solution if it exists, Here an algebraic ODE means that an ODE given by a differential polynomial.
PB Association for Computing Machinery (ACM)
YR 2005
FD 2005
LK https://uvadoc.uva.es/handle/10324/66093
UL https://uvadoc.uva.es/handle/10324/66093
LA spa
NO Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC Volume 2005, Pages 29 - 36 (2005)
NO Producción Científica
DS UVaDOC
RD 19-nov-2024