×

\(C^m\) solutions of systems of finite difference equations. (English) Zbl 1036.39003

Under certain conditions it is shown for given \(G\), \(H\) that the system \[ G(x, f(x),\dots, f(x+ n), g(x),\dots, g(x+ n))= 0, \]
\[ H(x,g(x),\dots, g(x+ n), f(x),\dots, f(x+ n))= 0 \] has a unique solution \(f\), \(g\) in \(\mathbb{C}^m\).

MSC:

39A10 Additive difference equations
39A20 Multiplicative and other generalized difference equations
PDF BibTeX XML Cite
Full Text: DOI EuDML