On Systems of Linear Functional Differential Inequalities

2006 ◽  
Vol 13 (3) ◽  
pp. 539-572
Author(s):  
Jiří Šremr
Keyword(s):  
Cauchy Problem ◽  
Differential Equations ◽  
Linear Functional ◽  
Functional Differential Equations ◽  
Differential Inequalities ◽  
The Cauchy Problem ◽  
Functional Differential

Abstract The Cauchy problem for 𝑛-dimensional systems of linear functional differential equations is studied. Some new theorems on systems of functional differential inequalities are established.

scholarly journals On linear singular functional-differential equations in one functional space

2004 ◽  
Vol 2004 (7) ◽  
pp. 567-575 ◽  
Author(s):  
Andrei Shindiapin
Keyword(s):  
Cauchy Problem ◽  
Differential Equations ◽  
Linear Functional ◽  
Functional Differential Equations ◽  
Functional Space ◽  
Integrable Functions ◽  
The Cauchy Problem ◽  
Functional Differential ◽  
Space Of Integrable Functions ◽  
Special Space

We use a special space of integrable functions for studying the Cauchy problem for linear functional-differential equations with nonintegrable singularities. We use the ideas developed by Azbelev and his students (1995). We show that by choosing the functionψgenerating the space, one can guarantee resolubility and certain behavior of the solution near the point of singularity.

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