On a generalization of the three spectral inverse problem
DOI:
Keywords:
Sturm-Liouville equation, Dirichlet boundary condition, Neumann boundary condition, Marchenko equation, Lagrange interpolation series, sine-type function, Nevanlinna functionAbstract
We consider a generalization of the three spectral inverse problem, that is, for given spectrum of the Dirichlet-Dirichlet problem (the Sturm-Liouville problem with Dirichlet conditions at both ends) on the whole interval $[0,a]$, parts of spectra of the Dirichlet-Neumann and Dirichlet-Dirichlet problems on $[0,a/2]$ and parts of spectra of the Dirichlet-Newman and Dirichlet-Dirichlet problems on $[a/2,a]$, we find the potential of the Sturm-Liouville equation.References
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