偏线性差分方程的偏分母界
Partial Denominator Bounds for Partial Linear Difference Equations
摘要：
研究了一类偏线性差分方程（PLDE）的有理解的分解子中，哪些多项式可能作为因子出现。有两种多项式是可以区分的，我们称之为/周期/和/非周期/。主要结果是一个众所周知的分母定界技术的一元方程PLDE的推广。这种推广能够找到所有的非周期因子的振荡器为一个给定的PLDE。
英文摘要：
We investigate which polynomials can possibly occur as factors in the denominators of rational solutions of a given partial linear difference equation (PLDE). Two kinds of polynomials are to be distinguished, we call them /periodic/ and /aperiodic/. The main result is a generalization of a well-known denominator bounding technique for univariate equations to PLDEs. This generalization is able to find all the aperiodic factors of the denominators for a given PLDE.
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