skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: An asymptotic expansion of the solution of a matrix difference equation of general form

Journal Article · · Sbornik. Mathematics
 [1]
  1. S.L. Sobolev Institute for Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk (Russian Federation)

An asymptotic expansion of the solution of an inhomogeneous matrix difference equation of general form is obtained. The case when there is no bound on the differences of the arguments is considered. The effect of the roots of the characteristic equation is taken into account. An integral estimate with a submultiplicative weight is established for the remainder in terms of the submultiplicative moment of the free term of the equation. Bibliography: 14 titles.

OSTI ID:
22364160
Journal Information:
Sbornik. Mathematics, Vol. 205, Issue 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

Similar Records

Exact Asymptotics of the Solution to a Difference Equation of General Type
Journal Article · Tue May 15 00:00:00 EDT 2018 · Journal of Mathematical Sciences · OSTI ID:22364160

Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions
Journal Article · Fri Aug 31 00:00:00 EDT 2012 · Sbornik. Mathematics · OSTI ID:22364160

Asymptotic behaviour of solutions of semilinear parabolic equations
Journal Article · Wed Apr 30 00:00:00 EDT 2008 · Sbornik. Mathematics · OSTI ID:22364160