Solving the Cauchy Problem for a Two-Dimensional Difference Equation at a Point Using Computer Algebra Methods

Picturing the Growth Order of Solutions in Complex Linear Differential–Difference Equations with Coefficients of φ-Order

“…Let us mention that, in fact, there is a significant amount of recent research on difference equations and their applications, as the ones developed in [18][19][20][21][22][23][24][25]. A number of authors (cf.…”

Solving the Cauchy problem for a three-dimensional difference equation in a parallelepiped

“…The connection between the generating function for solution to the Cauchy problem for a two-dimensional difference equation with constant coefficients and the generating function of the initial data is studied in [16,17]. In [18] an algorithm for calculating the solution of the Cauchy problem for a two-dimensional difference equation with constant coefficients at a point from the coefficients of the difference equation and the initial data of the Cauchy problem was developed and implemented.…”