scholar.google.com › citations
Jan 15, 2013 � Numeric-symbolic methods for computing the Liouvillian solutions of differential equations and systems. Computing methodologies � Symbolic and�...
Numeric-symbolic methods for computing the Liouvillian solutions of differential equations and systems. by Alberto Llorente. 2013, ACM Communications in�...
differential equations of order r has a non-null Liouvillian solution, then there exists a solution y 6= 0 such that y0/y is algebraic of degree I(r) at.
Jan 15, 2014 � In this chapter I shall explain and prove the algorithm for computing a nonzero. Liouvillian solution of differential equation or system. or�...
We show how one can use this result to give a procedure to find a basis for the space of solutions, liouvillian over K, of L(y) = 0 where K is such a field and�...
Missing: Numeric- | Show results with:Numeric-
Oct 9, 2008 � We will give an algorithm to decide whether such a system has liouvillian solutions when k = C(x,t), \sigma(x) = x+1, \delta = d/dt and the�...
Missing: Numeric- computing
Numeric-symbolic methods for computing the Liouvillian solutions of differential equations and systems ; ISSN � 1932-2240 ; A�o de publicaci�n � 2013 ; Volumen � 46.
About a new method for computing in algebraic number fields ... Liouvillian solutions of linear differential equations with liouvillian coefficients.
Missing: Numeric- | Show results with:Numeric-
▷ Singer (1991) using differential Galois theory: the problem of finding. Liouvillian solutions is decidable, in theory, for equations of arbitrary order�...
In the forthcoming paper, we will propose an algorithm for deciding if linear difference–differential systems of prime order have Liouvillian solutions.