Solutions of linear difference equations with variable coefficients

被引：34

作者：

Mallik, RK ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Elect & Commun Engn, Panbazar 781001, Guwahati, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 222卷 / 01期

关键词：

linear difference equation; variable coefficients; explicit solution; companion matrices;

D O I：

10.1006/jmaa.1997.5903

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The explicit solution of a linear difference equation of unbounded order with variable coefficients is presented. As special cases, the solutions of nonhomogeneous and homogeneous linear difference equations of order N with variable coefficients are obtained. From these solutions, we also get expressions for the product of companion matrices, and the power of a companion matrix. (C) 1998 Academic Press.

引用

页码：79 / 91

页数：13

共 24 条

[1] On the irregular cases of the linear ordinary difference equation
Adams, C. Raymond
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1928, 30 (1-4) : 507 - 541
[2] Bender C.M., 1978, Advanced mathematical methods for scientists and engineers
[3] BIRKHOFF G. D., 1932, B SOC MATH FR, V60, P1, DOI [10.24033/bsmf.1182, DOI 10.24033/BSMF.1182]
[4] Formal theory of irregular linear difference equations
Birkhoff, GD
[J]. ACTA MATHEMATICA, 1930, 54 (01) : 205 - 246
[5] BUCHBERGER B, 1971, R55789 OB I YAD ISSL
[6] The combinatorial power of the companion matrix
Chen, WYC
Louck, JD
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1996, 232 : 261 - 278
[7] CONVERGENT SOLUTIONS OF ORDINARY LINEAR HOMOGENEOUS DIFFERENCE EQUATIONS
CULMER, WJA
HARRIS, WA
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1963, 13 (04) : 1111 - &
[8] FARLOW SJ, 1994, INTRO DIFFERENTIAL E, pCH7
[9] NOTE ON LINEAR DIFFERENCE EQUATIONS
HARRIS, WA
SIBUYA, Y
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1964, 70 (01) : 123 - &
[10] IMMINK GK, 1984, LECT NOTES MATH, V1085

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