Geodesic
The discrete Wiener–Hopf equation with submultiplicative asymptotics of the solution
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1600-1611

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The discrete Wiener–Hopf equation is considered whose kernel is an arithmetic probability distribution with positive mean. The nonhomogeneous term behaves like a nondecreasing submultiplicative sequence. Asymptotic properties of the solution are established depending on the asymptotics of the submultiplicative sequence.
Keywords: discrete Wiener–Hopf equation, nonhomogeneous equation, arithmetic probability distribution, positive mean, submultiplicative sequence, regularly varying function, asymptotic behavior. 
M. S. Sgibnev. The discrete Wiener–Hopf equation with submultiplicative asymptotics of the solution. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1600-1611. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a142/
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