Exact Asymptotics of the Solution to a Difference Equation of General Type


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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.

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M. Sgibnev

Sobolev Institute of Mathematics SB RAS

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Email: sgibnev@math.nsc.ru
Rússia, 4, Akad. Koptyuga pr, Novosibirsk, 630090

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