Asymptotic behaviour of functional-differential equations with proportional time delays
- 1 February 1996
- journal article
- research article
- Published by Cambridge University Press (CUP) in European Journal of Applied Mathematics
- Vol. 7 (1) , 11-30
- https://doi.org/10.1017/s0956792500002163
Abstract
This paper discusses the initial value problem whereA, BiandCiared × dcomplex matrices,pi,qi∈ (0, 1),i= 1, 2, …, andy0is a column vector in ℂd. By using ideas from the theory of ordinary differential equations and the theory of functional equations, we give a comprehensive analysis of the asymptotic behaviour of analytic solutions of this initial value problem.Keywords
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