scholarly journals On inverse problem for a convolution integro-differential operator with Robin boundary conditions

2015 ◽  
Vol 48 ◽  
pp. 150-155 ◽  
Author(s):  
S.A. Buterin ◽  
A.E. Choque Rivero
Keyword(s):  
Inverse Problem ◽  
Differential Operator ◽  
Boundary Conditions ◽  
Robin Boundary Conditions ◽  
Robin Boundary

scholarly journals An inverse spectral problem for Sturm-Liouville-type integro-differential operators with robin boundary conditions

2019 ◽  
Vol 50 (3) ◽  
pp. 207-221 ◽  
Author(s):  
Sergey Buterin
Keyword(s):  
Boundary Condition ◽  
Inverse Problem ◽  
Boundary Conditions ◽  
Differential Operators ◽  
A Priori ◽  
Sufficient Conditions ◽  
Robin Boundary Conditions ◽  
Sturm Liouville ◽  
Necessary And Sufficient ◽  
Robin Boundary

The perturbation of the Sturm--Liouville differential operator on a finite interval with Robin boundary conditions by a convolution operator is considered. The inverse problem of recovering the convolution term along with one boundary condition from the spectrum is studied, provided that the Sturm--Liouville potential as well as the other boundary condition are known a priori. The uniqueness of solution for this inverse problem is established along with necessary and sufficient conditions for its solvability. The proof is constructive and gives an algorithm for solving the inverse problem.

scholarly journals The Brezis–Oswald Result for Quasilinear Robin Problems

2016 ◽  
Vol 16 (3) ◽  
Author(s):  
Genni Fragnelli ◽  
Dimitri Mugnai ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Differential Operator ◽  
Boundary Conditions ◽  
Elliptic Problem ◽  
Robin Boundary Conditions ◽  
Nonlinear Elliptic Problem ◽  
Reaction Term ◽  
Nonhomogeneous Differential Operator ◽  
Nonlinear Elliptic ◽  
Robin Boundary

AbstractIn this paper we consider a nonlinear elliptic problem driven by a nonhomogeneous differential operator with Robin boundary conditions. We produce conditions on the reaction term near

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