Asimptoticeskoe razlozenie dlja resenija neodnorodnogo raznostnogo uravnenija obscego vida | Zendy

М. С. Сгибнев | Zendy

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Asimptoticeskoe razlozenie dlja resenija neodnorodnogo raznostnogo uravnenija obscego vida

Author(s) -

М. С. Сгибнев

Publication year - 2015

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim140224001s

Subject(s) - remainder , mathematics , term (time) , moment (physics) , asymptotic expansion , mathematical analysis , physics , arithmetic , classical mechanics , quantum mechanics

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 a count. 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.

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