Geodesic
The discrete Wiener–Hopf equation with submultiplicative asymptotics of the solution
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1600-1611 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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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