scholarly journals Inverse problems for singular differential-operator equations with higher order polar singularities

2014 ◽  
Vol 19 (7) ◽  
pp. 2159-2168 ◽  
Author(s):  
Mohammed Al Horani ◽  
◽  
Angelo Favini ◽  
Keyword(s):  
Differential Operator ◽  
Inverse Problems ◽  
Higher Order ◽  
Operator Equations ◽  
Singular Differential Operator

DEGENERATE DIFFERENTIAL-OPERATOR EQUATIONS OF HIGHER ORDER AND ARBITRARY WEIGHT

2012 ◽  
Vol 05 (02) ◽  
pp. 1250030
Author(s):  
L. Tepoyan
Keyword(s):  
Differential Operator ◽  
Existence And Uniqueness ◽  
Weighted Sobolev Spaces ◽  
Higher Order ◽  
Generalized Solutions ◽  
Operator Equations ◽  
Compactness Theorems ◽  
Arbitrary Weight ◽  
Differential Operator Equation ◽  
Degenerate Differential Operator

We consider the Dirichlet problem for a degenerate differential-operator equation of higher order with arbitrary weight-function ρ(t). We establish some embedding and compactness theorems in weighted Sobolev spaces, show existence and uniqueness of the generalized solutions. We also give a description of the spectrum for the corresponding operator.

scholarly journals Higher order nonlinear degenerate differential operator equations

2009 ◽  
Vol 22 (10) ◽  
pp. 1556-1561
Author(s):  
Ravi P. Agarwal ◽  
Donal O’Regan ◽  
Veli Shakhmurov
Keyword(s):  
Differential Operator ◽  
Higher Order ◽  
Operator Equations ◽  
Degenerate Differential Operator ◽  
Nonlinear Degenerate
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