Recovering differential operators with nonlocal boundary conditions
Copyright policy )Recovering differential operators with nonlocal boundary conditions
Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator. Two uniqueness theorems of inverse problems from the Weyl-type function and two spectra are presented and proved, respectively.
12 pages
- Saratov State University Russian Federation
- Nanjing University of Science and Technology China (People's Republic of)
non-local boundary conditions, Mathematics - Spectral Theory, 34A55 34L05 47E05, inverse problems, Inverse problems involving ordinary differential equations, FOS: Mathematics, Boundary eigenvalue problems for ordinary differential equations, Nonlocal and multipoint boundary value problems for ordinary differential equations, General spectral theory of ordinary differential operators, Spectral Theory (math.SP)
non-local boundary conditions, Mathematics - Spectral Theory, 34A55 34L05 47E05, inverse problems, Inverse problems involving ordinary differential equations, FOS: Mathematics, Boundary eigenvalue problems for ordinary differential equations, Nonlocal and multipoint boundary value problems for ordinary differential equations, General spectral theory of ordinary differential operators, Spectral Theory (math.SP)
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