EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 97(111), pp. 113–123 (2015)

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ASYMPTOTIC EXPANSION OF THE SOLUTION OF A NONHOMOGENEOUS DIFFERENCE EQUATION OF GENERAL TYPE (ASIMPTOTICHESKOE RAZLOZHENIE DLYA RESHENIA NEODNORODNOGO RAZNOSTNOGO URAVNENIYA OBSHCHEGO VIDA)

M. S. Sgibnev

Sobolev Mathematical Institute, Novosibirsk, Russia

Abstract: We obtain an asymptotic expansion for the solution of a nonhomogeneous difference equation of general type. The influence of the roots of the characteristic equation is taken into account. An integral estimate with submultiplicative weight function is established for the remainder term depending on the existence of a corresponding submultiplicative moment of the free term of the equation.

Classification (MSC2000): 39A06

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Electronic fulltext finalized on: 16 Apr 2015. This page was last modified: 21 Apr 2015.

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