Factorization of the linear differential operator
نویسندگان
چکیده
منابع مشابه
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15 صفحه اولWeyl Closure of a Linear Differential Operator
(Received) We study the Weyl closure Cl(L) = K(x)h@iL \ D for an operator L of the rst Weyl algebra D = Khx;@i. We give an algorithm to compute Cl(L) and we describe its initial ideal under the order ltration. Our main application is an algorithm for constructing a Jordan-HH older series for a holonomic D-module and a formula for its length. Using the closure, we also reproduce a result of Strr...
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where the coefficients fs(x) belong to some differential field K. Factorization is a useful tool for computing a closed form solution of the corresponding linear ordinary differential equation Ly = 0 as well as determining its Galois group (see for example [46, 47, 54]). For simplicity and without loss of generality we suppose that operators (1) are reduced (i.e. f0(x) ≡ 1) unless we explicitly...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2013
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2013-237