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On the criteria for initial operators possessing (c)- property and generalized (c)-propertty

Mau N., Tuan N.

Demonstratio Mathematica

2008

Vol. 41, nr 4

805-811

This paper gives the criteria for the system of initial operators to possess the c(R)-property and the generalized c(R)-property.

An algebraic analysis approach to 2-D discrete problems

Przeworska-Rolewicz D., Wysocki H.

Control and Cybernetics

2001

Vol. 30, no 2

149-158

A model of algebraic analysis for the 2-index sequences (of the type 2-D) is considered. For difference operators of the form D{x_m,n}:= {x_m+1,n+1 - A_m,nX_m,n} the right inverses and the corresponding initial operators are constructed. Having already known the initial operators, one can determine solutions of the corresponding initial value problems.