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Factorization of multilinear differential operators with constant coefficients

✍ Scribed by Jari Taskinen


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
769 KB
Volume
162
Category
Article
ISSN
0022-247X

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In this paper we will give a new efficient method for factorizing differential operators with rational functions coefficients. This method solves the main problem in Beke's factorization method, which is the use of splitting fields and/or GrΓΆbner basis.

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## Abstract Let __P__(__z__) be a polynomial of degree __n__ with complex coefficients and consider the __n__–th order linear differential operator __P__(__D__). We show that the equation __P__(__D__)__f__ = 0 has the Hyers–Ulam stability, if and only if the equation __P__(__z__) = 0 has no pure im