The inverse scattering problem for a perturbed difference Hill equation

DOI10.1134/S0001434609030158zbMath1182.39008MaRDI QIDQ1033946

Agil K. Khanmamedov

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

difference equationinverse scattering problemHill equationrecovery problemdiscrete analog of the Hill equationperturbed Hill equation

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Scattering theory of linear operators (47A40)

Related Items (3)

Periodic Jacobi operator with finitely supported perturbations: the inverse resonance problem ⋮ Resonances for periodic Jacobi operators with finitely supported perturbations ⋮ On recovering the Sturm-Liouville differential operators on time scales

Cites Work

• Orthogonal polynomials with asymptotically periodic recurrent coefficients
• Theory of nonlinear lattices
• Inverse scattering by a local impurity in a periodic potential in one dimension
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