Generalized reciprocity principle for discrete symplectic systems

Autor: Julia Elyseeva
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 95, Pp 1-12 (2015)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2015.1.95
Popis: This paper studies transformations for conjoined bases of symplectic difference systems $Y_{i+1}=\mathcal S_{i}Y_{i}$ with the symplectic coefficient matrices $\mathcal S_i.$ For an arbitrary symplectic transformation matrix $P_{i}$ we formulate most general sufficient conditions for $\mathcal S_{i},\, P_{i}$ which guarantee that $P_{i}$ preserves oscillatory properties of conjoined bases $Y_{i}.$ We present examples which show that our new results extend the applicability of the discrete transformation theory.
Databáze: Directory of Open Access Journals