Inverse spectral problem for differential operator pencils on noncompact spatial networks

2008 ◽  
Vol 44 (12) ◽  
pp. 1721-1729 ◽  
Author(s):  
V. A. Yurko
Keyword(s):  
Differential Operator ◽  
Spectral Problem ◽  
Inverse Spectral Problem ◽  
Spatial Networks ◽  
Inverse Spectral ◽  
Operator Pencils

On an inverse spectral problem for one integro-differential operator of fractional order

2019 ◽  
Vol 27 (1) ◽  
pp. 17-23 ◽  
Author(s):  
Mikhail Ignatiev
Keyword(s):  
Inverse Problem ◽  
Differential Operator ◽  
Spectral Problem ◽  
Fractional Order ◽  
Inverse Spectral Problem ◽  
A Priori ◽  
A Priori Information ◽  
Inverse Spectral ◽  
Priori Information

Abstract An inverse spectral problem for some integro-differential operator of fractional order {\alpha\in(1,2)} is studied. We show that the specification of the spectrum together with a certain a priori information about the structure of the operator determines such operator uniquely. The proof is constructive and provides a procedure for solving the inverse problem.

Sign in / Sign up

Export Citation Format

Share Document