Abstract
Inverse problems for differential pencils with nonlocal conditions are considered. Uniqueness theorems of inverse problems from the Weyl-type function and spectra are proved, which are generalizations of the well-known Weyl function and Borg’s inverse problem for the classical Sturm–Liouville operators.
Funding source: Ministry of Education and Science of the Russian Federation
Award Identifier / Grant number: 1.1660.2017/PCh
Funding source: Russian Foundation for Basic Research
Award Identifier / Grant number: 16-01-00015 17-51-53180
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11171152
Award Identifier / Grant number: 11611530682
Award Identifier / Grant number: 91538108
Funding source: Natural Science Foundation of Jiangsu Province
Award Identifier / Grant number: BK 20141392
Funding statement: The work of the second author was supported by the Ministry of Education and Science of RF (grant 1.1660.2017/PCh) and by RFBR (16-01-00015 and 17-51-53180). The first author was supported in part by the National Natural Science Foundation of China (11171152, 11611530682 and 91538108) and by the Natural Science Foundation of the Jiangsu Province of China (BK 20141392).
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Identification of mathematical model of bacteria population under the antibiotic influence
- On the determination of differential pencils with nonlocal conditions
- An inverse problem in elastography involving Lamé systems
- Solution of the inverse seismic problem in a layered elastic medium by means of the τ-p Radon transform
- An adaptive multigrid conjugate gradient method for the inversion of a nonlinear convection-diffusion equation
- Ambarzumyan-type theorems on a time scale
- A converse result for Banach space convergence rates in Tikhonov-type convex regularization of ill-posed linear equations
- Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates
- Inverse dynamic and spectral problems for the one-dimensional Dirac system on a finite tree
- Phaseless inverse problems with interference waves
- Quasi-solution of linear inverse problems in non-reflexive Banach spaces
Artikel in diesem Heft
- Frontmatter
- Identification of mathematical model of bacteria population under the antibiotic influence
- On the determination of differential pencils with nonlocal conditions
- An inverse problem in elastography involving Lamé systems
- Solution of the inverse seismic problem in a layered elastic medium by means of the τ-p Radon transform
- An adaptive multigrid conjugate gradient method for the inversion of a nonlinear convection-diffusion equation
- Ambarzumyan-type theorems on a time scale
- A converse result for Banach space convergence rates in Tikhonov-type convex regularization of ill-posed linear equations
- Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates
- Inverse dynamic and spectral problems for the one-dimensional Dirac system on a finite tree
- Phaseless inverse problems with interference waves
- Quasi-solution of linear inverse problems in non-reflexive Banach spaces