scholarly journals Analytic solutions of a class of iterative functional differential equations

2004 ◽  
Vol 162 (2) ◽  
pp. 467-481 ◽  
Author(s):  
Jianguo Si ◽  
Weinian Zhang
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Analytic Solutions ◽  
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.

scholarly journals Reducible functional differential equations

1985 ◽  
Vol 8 (1) ◽  
pp. 1-27 ◽  
Author(s):  
S. M. Shah ◽  
Joseph Wiener
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Difference Equations ◽  
Functional Differential Equations ◽  
Analytic Solutions ◽  
Solutions To Equations ◽  
Biological Models ◽  
General Argument ◽  
Functional Differential ◽  
Insight Into

This is the first part of a survey on analytic solutions of functional differential equations (FDE). Some classes of FDE that can be reduced to ordinary differential equations are considered since they often provide an insight into the structure of analytic solutions to equations with more general argument deviations. Reducible FDE also find important applications in the study of stability of differential-difference equations and arise in a number of biological models.

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