On two-spectra inverse problems
Namig Guliyev
Abstract
We consider a two-spectra inverse problem for the one-dimensional Schrödinger equation with boundary conditions containing rational Herglotz–Nevanlinna functions of the eigenvalue parameter and provide a complete solution of this problem.
Topics & Concepts
MathematicsInverse problemApplied mathematicsBoundary value problemMathematical analysisEigenvalues and eigenvectorsInverseBoundary (topology)Generalized inverseInverse scattering problemInverse theoryInverse scattering transformRational functionAction (physics)Stability (learning theory)Inverse functionMathematical optimizationCalculus (dental)Estimation theorySpectral Theory in Mathematical PhysicsHolomorphic and Operator TheoryNumerical methods in inverse problems