Green's functions of recurrence relations with reflection

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:477

Article

Tojo, F. Adrian F.¹ 

[1] Univ Santiago Compostela, Fac Matemat, Inst Matemat, Santiago De Compostela, Spain

关键词: Reflection;    Recurrence relations;    System of first order difference equations;    General boundary conditions;   

DOI  :  10.1016/j.jmaa.2019.05.025

来源: Elsevier

【 摘 要 】

In this work we develop an algebraic theory of linear recurrence equations and systems with constant coefficients and reflection. We obtain explicit solutions and the Green's functions associated to different problems under general linear boundary conditions. Furthermore, we establish different relations between the algebras of recurrence and differential operators, showing the similarities and differences between them. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free