The characterization problem for one class of second order operator pencil with complex periodic coefficients

2005/10/29 by R. F. Efendiev, Rakib Efendiev, Efendiev, R. F.
Chemistry · Mathematics · #34B25 #34L05 #34L25 #47A40 #81U40 #Algebra over a field #Applied mathematics #Artificial intelligence #Characterization (materials science) #Chemistry #Class (philosophy) #Classical Analysis and ODEs (math.CA) #Computer science #Differential Equations and Boundary Problems #Eigenvalues and eigenvectors #FOS: Mathematics #Mathematical analysis #Mathematics #Matrix pencil #Numerical methods in inverse problems #Operator (biology) #Optics #Pencil (optics) #Physics #Pure mathematics #Quantum mechanics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.CA #math.SP #msc:34B25 #msc:34L05 #msc:34L25 #msc:47A40 #msc:81U40

paper · pdf · doi:10.48550/arxiv.math/0510647

9 pages

arxiv created 2005/10/29 · openalex publication_date 2005/10/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The purpose of the present work is solving the characterization problem for one class of second order operator pencil with complex periodic coefficients, which consists of identification of necessary and sufficient conditions on the scattering data ensuring that the reconstructed potential belongs to a particular class.

Citations

• Inverse scattering on the line

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