Singular linear systems of differential equations with delays
- 1 January 1980
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 11 (2) , 129-136
- https://doi.org/10.1080/00036818008839326
Abstract
The differential equation Ax + Bx = Cx(t-l) + f is studied where A, B, C are square matrices. All matrices are allowed to be singular. Examples are given to show that not all initial functions are consistent and that for consistent initial conditions, solutions may be continuous for only a finite time period. Solutions are given explicitly by a recursion formula and consistent initial conditions are explicitly characterizedKeywords
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