Linear growth: a unifying approach to linear systems of difference and differential equations
作者:
Ulrich Faigle†,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1983)
卷期:
Volume 14,
issue 2
页码: 137-143
ISSN:0020-739X
年代: 1983
DOI:10.1080/0020739830140202
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Using the concept of vector‐valued functions describing linear growth, a treatment of homogenous linear systems of difference and differential equations with constant coefficients is presented. This approach allows the derivation of the general solution for a system of differential equations as the continuous analogue of the ‘obvious’ solution of the discrete case. The standard fundamental solutions of pth‐order difference and differential equations are given as special cases of the general solutions.
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