An inverse problem for Sturm–Liouville operators on the half-line with complex weights
Abstract
Second order differential operators on the half-line with complex-valued weights are considered. Properties of spectral characteristics are established, and the inverse problem of recovering operator’s coefficients from the given Weyl-type function is studied. The uniqueness theorem is proved for this class of nonlinear inverse problems, and a number of examples are provided.
Funding source: Ministry of Education and Science of the Russian Federation
Award Identifier / Grant number: 1.1660.2017/4.6
Funding source: Russian Foundation for Basic Research
Award Identifier / Grant number: 19-01-00102
Funding statement: This work was supported in part by Grant 1.1660.2017/4.6 of the Russian Ministry of Education and Science and by Grant 19-01-00102 of the Russian Foundation for Basic Research.
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Articles in the same Issue
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- The Regularized Weak Functional Matching Pursuit for linear inverse problems
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- Non-recombining trinomial tree pricing model and calibration for the volatility smile
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- Shape sensitivity analysis for identification of voids under Navier’s boundary conditions in linear elasticity
- On a method for solving the inverse Sturm–Liouville problem
- Inverse scattering for the higher order Schrödinger operator with a first order perturbation
- On recovering a Sturm–Liouville-type operator with the frozen argument rationally proportioned to the interval length
- An inverse problem for Sturm–Liouville operators on the half-line with complex weights
- Inverse Sturm–Liouville problems for non-Borg conditions
- Theory and numerical methods for solving inverse and ill-posed problems
Articles in the same Issue
- Frontmatter
- Source identification problems for hyperbolic differential and difference equations
- The Regularized Weak Functional Matching Pursuit for linear inverse problems
- An inversion formula for the transport equation in ℝ3 using complex analysis in several variables
- Non-recombining trinomial tree pricing model and calibration for the volatility smile
- Using Landweber iteration to quantify source conditions – a numerical study
- Shape sensitivity analysis for identification of voids under Navier’s boundary conditions in linear elasticity
- On a method for solving the inverse Sturm–Liouville problem
- Inverse scattering for the higher order Schrödinger operator with a first order perturbation
- On recovering a Sturm–Liouville-type operator with the frozen argument rationally proportioned to the interval length
- An inverse problem for Sturm–Liouville operators on the half-line with complex weights
- Inverse Sturm–Liouville problems for non-Borg conditions
- Theory and numerical methods for solving inverse and ill-posed problems
