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A finite-sum representation for solutions for the Jacobi operator

2009/07/03 by Hugo M. Campos, Vladislav V. Kravchenko
Mathematics · Physics and Astronomy · #Algebra over a field #Applied mathematics #Mathematical analysis #Mathematics #Numerical methods in inverse problems #Operator (biology) #Pure mathematics #Quantum chaos and dynamical systems #Representation (politics) #Spectral Theory in Mathematical Physics #Value (mathematics) #math-ph #math.MP #math.SP #msc:39A05

paper · pdf · doi:10.1080/10236190903158990

published as Journal of Difference Equations and Applications, 2011, v. 17, No. 4, 567--575 · To be published in Journal of Difference Equations and Applications

arxiv created 2009/07/03 · openalex publication_date 2010/03/05 · arxiv updated 2011/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We obtain a finite-sum representation for the general solution of the equation in terms of a non-vanishing solution corresponding to some fixed value of . Applications of this representation to some results on the boundedness of solutions, are given as well as illustrating examples.

Citations