论文标题
解决平行仪的三维差异方程的库奇问题
Solving the Cauchy problem for a three-dimensional difference equation in a parallelepiped
论文作者
论文摘要
本文的目的是进一步发展具有恒定系数的线性差方程理论。我们提出了一种新算法，用于计算三维差异方程的解决方案，并使用差异方程和库奇数据的系数在该点并行静止的三维差异方程。实施的算法是一系列文章中的下一个重大成就，证明了Apanovich和Leinartas定理有关库奇问题的解决性和良好性的定理。我们还使用计算机代数的方法，因为三维情况通常需要扩展计算。
The aim of this article is further development of the theory of linear difference equations with constant coefficients. We present a new algorithm for calculating the solution to the Cauchy problem for a three-dimensional difference equation with constant coefficients in a parallelepiped at the point using the coefficients of the difference equation and Cauchy data. The implemented algorithm is the next significant achievement in a series of articles justifying the Apanovich and Leinartas' theorems about the solvability and well-posedness of the Cauchy problem. We also use methods of computer algebra since the three-dimensional case usually demands extended calculations.
