Factorization method on time scales

Tomasz Goliński

Applied Mathematics and Computation, 2019, vol. 347, issue C, 354-359

Abstract: 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*.

Keywords: Factorization method; Difference equations; Time scales; Ladder operators (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:354-359

DOI: 10.1016/j.amc.2018.11.007

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