On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems

机译：普通线性微分系统的正则和对数解

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We present an approach to construct all the regular solutions of systems of linear ordinary differential equations using the desingular-ization algorithm of Abramov & Bronstein (2001) as an auxiliary tool. A similar approach to find all the solutions with entries in C(z)[log z] is presented as well, together with a new hybrid method for constructing the denominator of rational and logarithmic solutions.

机译：我们提出了一种使用Abramov＆Bronstein（2001）的去奇化算法作为辅助工具来构造线性常微分方程组的所有正则解的方法。还提出了一种类似的方法来查找所有在C（z）[log z]中具有条目的解，并提供了一种新的混合方法来构造有理和对数解的分母。

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来源
《International Workshop on Computer Algebra in Scientific Computing(CASC 2005); 20050912-16; Kalamata(GR)》|2005年|P.1-12|共12页
会议地点 Kalamata(GR)
作者
S.A. Abramov; M. Bronstein; D.E. Khmelnov;
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作者单位

Dorodnicyn Comp. Center of the Russ. Acad. of Sciences, Moscow 119991, Russia;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;代数、数论、组合理论;
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机译：普通线性差分系统的常规和对数解
5. MULTIRATE LINEAR MULTISTEP METHODS FOR THE SOLUTION OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS. [D] . WELLS, DANIEL RAYMOND. 1982

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6. Operational method of solution of linear non-integer ordinary and partial differential equations [O] . K. V. Zhukovsky -1

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7. On the construction of solutions of systems of linear ordinary differential equations in the neighbourhood of a regular singularity [O] . Galiev V.I., Polupanov A.F., Shparlinski I.E. 1992

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8. LOGARITHMIC DIFFERENTIAL FIELDS AND PRINCIPAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS [R] . Walter Strodt 1960

机译：常微分方程的对数微分方程和主要解

On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems

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