Stability of the solutions of the simplest space-distributed discrete equations
Modelirovanie i analiz informacionnyh sistem, Tome 24 (2017) no. 5, pp. 537-549

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The stability of the solutions of the linear equations arising in the theory of two-dimensional digital filtration is studied. The different statements of the initial value problem are analysed. As the basic results, the corresponding stability criterion is obtained for each of them.
Keywords: discrete equations, stability, boundary value problems, spectral set.
@article{MAIS_2017_24_5_a1,
     author = {S. A. Kashchenko},
     title = {Stability of the solutions of the simplest space-distributed discrete equations},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {537--549},
     publisher = {mathdoc},
     volume = {24},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2017_24_5_a1/}
}
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S. A. Kashchenko. Stability of the solutions of the simplest space-distributed discrete equations. Modelirovanie i analiz informacionnyh sistem, Tome 24 (2017) no. 5, pp. 537-549. http://geodesic.mathdoc.fr/item/MAIS_2017_24_5_a1/