Singular analytic solutions to some linear systems of functional-differential equations in a neighborhood of a regular singularity

1996 ◽  
Vol 37 (1) ◽  
pp. 171-183
Author(s):  
V. B. Cherepennikov
Keyword(s):  
Differential Equations ◽  
Linear Systems ◽  
Functional Differential Equations ◽  
Analytic Solutions ◽  
Regular Singularity ◽  
Functional Differential

Asymptotic behaviour of functional-differential equations with proportional time delays

1996 ◽  
Vol 7 (1) ◽  
pp. 11-30 ◽  
Author(s):  
Yunkang Liu
Keyword(s):  
Differential Equations ◽  
Asymptotic Behaviour ◽  
Initial Value Problem ◽  
Time Delays ◽  
Functional Differential Equations ◽  
Analytic Solutions ◽  
Comprehensive Analysis ◽  
Initial Value ◽  
Functional Differential ◽  
Image Position

This paper discusses the initial value problemwhereA, 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.

Sign in / Sign up

Export Citation Format

Share Document