Polynomial approximations of solutions of higher-order operator-differential equations

1994 ◽  
Vol 46 (7) ◽  
pp. 1045-1048
Author(s):  
G. D. Orudzhev
Keyword(s):  
Differential Equations ◽  
Higher Order ◽  
Order Operator ◽  
Polynomial Approximations

scholarly journals An asymptotic theory of higher-order operator differential equations with nonsmooth nonlinearities

2004 ◽  
Vol 217 (2) ◽  
pp. 448-488 ◽  
Author(s):  
Vladimir Kozlov (Linköping) ◽  
Vladimir Maz'ya (Linköping)
Keyword(s):  
Differential Equations ◽  
Asymptotic Theory ◽  
Higher Order ◽  
Order Operator

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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