Geodesic
Systems of difference equations with localized effect of right side
Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 249-255.

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Criteria are obtained which state that a system of difference equations with constant coefficients must possess Green matrices whose norms exponentially decrease with an increase in the node coordinates. The Green formula in any network region is obtained for systems satisfying these criteria. 
@article{MZM_1969_6_2_a13,
     author = {V. S. Ryaben'kii},
     title = {Systems of difference equations with localized effect of right side},
     journal = {Matemati\v{c}eskie zametki},
     pages = {249--255},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a13/}
}
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V. S. Ryaben'kii. Systems of difference equations with localized effect of right side. Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 249-255. http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a13/