Асимптотическое разложение для решения неоднородного разностного уравнения общего вида
Publications de l'Institut Mathématique, _N_S_97 (2015) no. 111, p. 113
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
@article{10_2298_PIM140224001S,
author = {{\CYRM}. {\CYRS}. {\CYRS}{\cyrg}{\cyri}{\cyrb}{\cyrn}{\cyre}{\cyrv}},
title = {{\CYRA}{\cyrs}{\cyri}{\cyrm}{\cyrp}{\cyrt}{\cyro}{\cyrt}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyro}{\cyre} {\cyrr}{\cyra}{\cyrz}{\cyrl}{\cyro}{\cyrzh}{\cyre}{\cyrn}{\cyri}{\cyre} {\cyrd}{\cyrl}{\cyrya} {\cyrr}{\cyre}{\cyrsh}{\cyre}{\cyrn}{\cyri}{\cyrya} {\cyrn}{\cyre}{\cyro}{\cyrd}{\cyrn}{\cyro}{\cyrr}{\cyro}{\cyrd}{\cyrn}{\cyro}{\cyrg}{\cyro} {\cyrr}{\cyra}{\cyrz}{\cyrn}{\cyro}{\cyrs}{\cyrt}{\cyrn}{\cyro}{\cyrg}{\cyro} {\cyru}{\cyrr}{\cyra}{\cyrv}{\cyrn}{\cyre}{\cyrn}{\cyri}{\cyrya} {\cyro}{\cyrb}{\cyrshch}{\cyre}{\cyrg}{\cyro} {\cyrv}{\cyri}{\cyrd}{\cyra}},
journal = {Publications de l'Institut Math\'ematique},
pages = {113 },
publisher = {mathdoc},
volume = {_N_S_97},
number = {111},
year = {2015},
doi = {10.2298/PIM140224001S},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM140224001S/}
}
TY - JOUR AU - М. С. Сгибнев TI - Асимптотическое разложение для решения неоднородного разностного уравнения общего вида JO - Publications de l'Institut Mathématique PY - 2015 SP - 113 VL - _N_S_97 IS - 111 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM140224001S/ DO - 10.2298/PIM140224001S LA - en ID - 10_2298_PIM140224001S ER -
%0 Journal Article %A М. С. Сгибнев %T Асимптотическое разложение для решения неоднородного разностного уравнения общего вида %J Publications de l'Institut Mathématique %D 2015 %P 113 %V _N_S_97 %N 111 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2298/PIM140224001S/ %R 10.2298/PIM140224001S %G en %F 10_2298_PIM140224001S
М. С. Сгибнев. Асимптотическое разложение для решения неоднородного разностного уравнения общего вида. Publications de l'Institut Mathématique, _N_S_97 (2015) no. 111, p. 113 . doi: 10.2298/PIM140224001S
Cité par Sources :