Factorization method on time scales
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摘要
We present an approach to the factorization method for second order difference equations on time scales. We construct Hilbert spaces of functions on the time scale and show how to construct a chain of intertwined first order Δ-difference operators Ak in the sense that Ak and Ak* act as ladder operators generating new solutions of eigenproblem of AkAk*.
论文关键词：Factorization method,Difference equations,Time scales,Ladder operators
论文评审过程：Received 13 June 2018, Revised 3 October 2018, Accepted 1 November 2018, Available online 23 November 2018, Version of Record 23 November 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.11.007
