Inverse Indefinite Spectral Problem for Second Order Differential Operator with Complex Periodoc Coefficients
2008
The inverse problem for the Sturm- Liouville operator with complex periodic potential and discontinuous coefficients on the axis is studied. Main characteristics of the fundamental solutions are investigated, the spectrum of the operator is studied. We give formulation of the inverse problem, prove a uniqueness theorem and provide a constructive procedure for the solution of the inverse problem.
Keywords:
- Fundamental solution
- Differential operator
- Mathematical analysis
- Spectrum (functional analysis)
- Inverse problem
- Uniqueness theorem for Poisson's equation
- Mathematics
- Mathematical optimization
- Inverse scattering problem
- Spectral theory
- Spectral theory of ordinary differential equations
- Operator (computer programming)
- Inverse
- Generalized inverse
- Correction
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