Geodesic
About Conditions of Invertibility of Difference Operators of the Second Order
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 4, pp. 44-49

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Linear difference operators of the second order are considered. Each operator is assigned a matrix operator of the first order. The statement about simultaneous invertibility of such operators was proved. A sufficient condition about invertibility of difference operators is obtained.
Mots-clés : kernel, image
Keywords: difference operators, invertibility of operators. 
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     author = {A. Yu. Duplishcheva},
     title = {About {Conditions} of {Invertibility} of {Difference} {Operators} of the {Second} {Order}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {44--49},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2014_14_4_a4/}
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A. Yu. Duplishcheva. About Conditions of Invertibility of Difference Operators of the Second Order. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 4, pp. 44-49. http://geodesic.mathdoc.fr/item/VNGU_2014_14_4_a4/