Abstract
This paper is concerned with discontinuous inverse problem generated by complex-valued weight Sturm–Liouville differential operator with λ-dependent boundary conditions. We establish some properties of spectral characteristic and prove that the potential on the whole interval can be uniquely determined by the Weyl-type function or two spectra.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11961060
Funding statement: This paper is supported by the National Natural Science Foundation of China (No. 11961060).
References
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Articles in the same Issue
- Frontmatter
- Boundary determination for hybrid imaging from a single measurement
- The inverse problem of heat conduction in the case of non-uniqueness: A functional identification approach
- Well-posedness and Tikhonov regularization of an inverse source problem for a parabolic equation with an integral constraint
- CT image restoration method via total variation and L 0 smoothing filter
- A weakly inhomogeneous vibrating membrane and the solotone effect in two dimensions
- A physics-inspired neural network for short-wave radiation parameterization
- Inverse problem for Sturm–Liouville operator with complex-valued weight and eigenparameter dependent boundary conditions
- The high-order estimate of the entire function associated with inverse Sturm–Liouville problems
- Inverse spectral problem for differential pencils with a frozen argument
- Curious ill-posedness phenomena in the composition of non-compact linear operators in Hilbert spaces
- M. M. Lavrentiev-type systems and reconstructing parameters of viscoelastic media
- Application of locally regularized extremal shift to the problem of realization of a prescribed motion
- The overdetermined Cauchy problem for the hyperbolic Gellerstedt equation
- The group behavior analysis of the high-frequency traders based on Mean Field Games approach