STABILITY PROPERTIES IN ABSTRACT LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

1995 ◽  
pp. 329-341 ◽  
Author(s):  
YOSHIYUKI HINO ◽  
SATORU MURAKAMI
Keyword(s):  
Differential Equations ◽  
Linear Functional ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Stability Properties ◽  
Functional Differential

The weighted Cauchy problem for linear functional differential equations with strong singularities

2011 ◽  
Vol 18 (3) ◽  
pp. 577-586
Author(s):  
Zaza Sokhadze
Keyword(s):  
Cauchy Problem ◽  
Differential Equations ◽  
Linear Functional ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Initial Point ◽  
Higher Order ◽  
Well Posedness ◽  
Deviating Arguments ◽  
Functional Differential

Abstract The sufficient conditions of well-posedness of the weighted Cauchy problem for higher order linear functional differential equations with deviating arguments, whose coefficients have nonintegrable singularities at the initial point, are found.

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