Some properties of infinite dimensional discrete operators

Narcisia C. Apreutesei, Vitaly A. Volpert

DOI: http://dx.doi.org/10.12775/TMNA.2004.023

Abstract


The paper is devoted to infinite dimensional discrete operators that can be
considered as a difference analog of differential equations on the whole axis.
We obtain a necessary and sufficient condition in order for the linear operator
to be normally solvable.
Topological degree for nonlinear operators is constructed.

Keywords


Discrete operators; normal solvability; Fredholm property; topological degree

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