Geodesic
Exact asymptotics of the solution to a difference equation of general type
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 1, pp. 45-54

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An asymptotic expansion for the solution to a nonhomogeneous difference equation of general type is obtained. The influence of the roots of the characteristic equation is taken into account. The asymptotic behavior of the remainder is established, depending on the asymptotics of the nonhomogeneous term of the equation.
Keywords: numbering, Rogers semilattice, hyperarithmetical hierarchy, minimal elements, minimal covers. 
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     author = {M. S. Sgibnev},
     title = {Exact asymptotics of the solution to a difference equation of general type},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {45--54},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2017_17_1_a3/}
}
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M. S. Sgibnev. Exact asymptotics of the solution to a difference equation of general type. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 17 (2017) no. 1, pp. 45-54. http://geodesic.mathdoc.fr/item/VNGU_2017_17_1_a3/