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On meromorphic equivalence of linear difference operators

Gertrude K. Immink (1990)

Annales de l'institut Fourier

We consider linear difference equations whose coefficients are meromorphic at . We characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants. Using an approach inspired by the work of G. D. Birkhoff we show that this system is free.

On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations

Marian Kwapisz (1993)

Applications of Mathematics

In the paper a modification of Samoilenko's numerical analytic method is adapted for solving of boundary value problems for difference equation. Similarly to the case of differential equations it is shown that the considered modification of the method requires essentially less restrictive condition-then the original method-for existence and uniqueness of solution of auxiliary equations which play a crucial role in solving the boundary value problems for difference equations.

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