scholarly journals SOLVABILITY OF WEIGHTED INITIAL PROBLEM FOR THE HIGH-ORDER NON-LINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS.

2021 ◽  
Vol 99 (07) ◽  
pp. 108-110
Author(s):  
Z. P. Sokhadze ◽  
◽  
M. M. Shalamberidze ◽  
Keyword(s):  
Differential Equations ◽  
Linear Functional ◽  
Functional Differential Equations ◽  
High Order ◽  
Initial Problem ◽  
Non Linear ◽  
Functional Differential

Unique solvability of a non-linear non-local boundary-value problem for systems of non-linear functional differential equations

2010 ◽  
Vol 60 (3) ◽  
Author(s):  
N. Dilna ◽  
A. Ronto
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Unique Solvability ◽  
Linear Functional ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Nonlocal Boundary ◽  
Local Boundary ◽  
Non Linear ◽  
Functional Differential

AbstractGeneral conditions for the unique solvability of a non-linear nonlocal boundary-value problem for systems of non-linear functional differential equations are obtained.

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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