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.
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页码:79 / 91
页数:13
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[21]
Trjitzinsky WJ, 1935, T AM MATH SOC, V37, P80