Defining Ideal for A Parameterized Picard-Vessiot Group

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:yizhonglishi
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  An important problem in the differential Galois theory is to describe the Galois group of a linear differential equation of order n with parameters.It is a subgroup of GL(n)defined by a differential ideal I.For every integer r,one can find the generators of I up to order r,but one does know if these differentially generate I.Under a reasonable assumption on parameters,we will see how to solve this problem.
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