In this paper, we consider Sturm-Liouville problems on two symmetric disjoint intervals with two supplementary discontinuous conditions at an interior point. First, we investigate some spectral properties of boundary value problems, and obtain the asymptotic form of the eigenvalues and the eigenfunctions. Then, the eigenfunction expansion of Green’s function is presented and we prove the uniqueness theorems for the solution of the inverse problem, and reconstruct the Sturm-Liouville operator and the coefficients of boundary conditions using the Weyl m-function and spectral data. Also, numerical examples are presented.
Mosazadeh, S. (2021). Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two symmetric disjoint intervals. Computational Methods for Differential Equations, 9(1), 244-257. doi: 10.22034/cmde.2020.32543.1509
MLA
Seyfollah Mosazadeh. "Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two symmetric disjoint intervals". Computational Methods for Differential Equations, 9, 1, 2021, 244-257. doi: 10.22034/cmde.2020.32543.1509
HARVARD
Mosazadeh, S. (2021). 'Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two symmetric disjoint intervals', Computational Methods for Differential Equations, 9(1), pp. 244-257. doi: 10.22034/cmde.2020.32543.1509
VANCOUVER
Mosazadeh, S. Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two symmetric disjoint intervals. Computational Methods for Differential Equations, 2021; 9(1): 244-257. doi: 10.22034/cmde.2020.32543.1509
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