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- Title
Recovering differential pencils with spectral boundary conditions and spectral jump conditions.
- Authors
Khalili, Yasser; Baleanu, Dumitru
- Abstract
In this work, we discuss the inverse problem for second order differential pencils with boundary and jump conditions dependent on the spectral parameter. We establish the following uniqueness theorems: (i) the potentials q k (x) and boundary conditions of such a problem can be uniquely established by some information on eigenfunctions at some internal point b ∈ (π 2 , π) and parts of two spectra; (i i) if one boundary condition and the potentials q k (x) are prescribed on the interval [ π / 2 (1 − α) , π ] for some α ∈ (0 , 1) , then parts of spectra S ⊆ σ (L) are enough to determine the potentials q k (x) on the whole interval [ 0 , π ] and another boundary condition.
- Subjects
PENCILS; EIGENFUNCTIONS
- Publication
Journal of Inequalities & Applications, 2020, Vol 2020, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-020-02537-z