Symplectic difference systems with periodic coefficients: Krein’s traffic rules for multipliers

Author:

Došlý Ondřej

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference15 articles.

1. Dopicio FM, Johnson CR: Complementary bases in symplectic matrices and a proof that their determinant is one. Linear Algebra Appl. 2006, 419: 772–778. 10.1016/j.laa.2006.06.014

2. Krein MG: The basic propositions of the theory of λ -zones of stability of a system of linear differential equations with periodic coefficients. In In Memory of Aleksandr Aleksandrovič Andronov. Izdat. Akad. Nauk. SSSR, Moscow; 1955:413–498. (Russian). English translation: Four papers on ordinary differential equations. Edited by Lev J. Leifman. Transl. Am. Math. Soc., Ser. 2 120, 1–70 (1983). Am. Math. Soc., Providence

3. Bohner M, Došlý O, Kratz W: Sturmian and spectral theory for discrete symplectic systems. Trans. Am. Math. Soc. 2009, 361: 3109–3123. 10.1090/S0002-9947-08-04692-8

4. Kratz W: Discrete oscillation. J. Differ. Equ. Appl. 2003, 9: 135–147. In honour of Professor Allan Peterson on the occasion of his 60th birthday, Part II

5. Kelley WG, Peterson AC: Difference Equations: An Introduction with Applications. Academic Press, San Diego; 2001.

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1. Discrete Symplectic Eigenvalue Problems;Pathways in Mathematics;2019

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