Open AccessAsimptoticeskoe razlozenie dlja resenija neodnorodnogo raznostnogo uravnenija obscego vida
Author(s) -
М. С. Сгибнев
Publication year - 2015
Publication title -
publications de l'institut mathématique
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.