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@book{1554616,
author = {Došlý, Ondřej and Elyseeva, Julia and Šimon Hilscher, Roman},
address = {Cham},
doi = {http://dx.doi.org/10.1007/978-3-030-19373-7},
keywords = {Symplectic difference system; oscillation; focal point; comparative index; eigenvalue problem; relative oscillation; recessive solution; dominant solution; Sturmian theorem},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Cham},
isbn = {978-3-030-19372-0},
publisher = {Birkhäuser/Springer},
title = {Symplectic Difference Systems: Oscillation and Spectral Theory},
url = {https://link.springer.com/book/10.1007/978-3-030-19373-7},
year = {2019}
}
TY - BOOK
ID - 1554616
AU - Došlý, Ondřej - Elyseeva, Julia - Šimon Hilscher, Roman
PY - 2019
TI - Symplectic Difference Systems: Oscillation and Spectral Theory
VL - Pathways in Mathematics
PB - Birkhäuser/Springer
CY - Cham
SN - 9783030193720
KW - Symplectic difference system
KW - oscillation
KW - focal point
KW - comparative index
KW - eigenvalue problem
KW - relative oscillation
KW - recessive solution
KW - dominant solution
KW - Sturmian theorem
UR - https://link.springer.com/book/10.1007/978-3-030-19373-7
L2 - https://link.springer.com/book/10.1007/978-3-030-19373-7
N2 - This monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory. As a pioneer monograph in this field it contains nowadays standard theory of symplectic systems, as well as the most current results in this field, which are based on the recently developed central object - the comparative index. The book contains numerous results and citations, which were till now scattered only in journal papers. The book also provides new applications of the theory of matrices in this field, in particular of the Moore-Penrose pseudoinverse matrices, orthogonal projectors, and symplectic matrix factorizations. Thus it brings this topic to the attention of researchers and students in pure as well as applied mathematics.
ER -
DOŠLÝ, Ondřej, Julia ELYSEEVA and Roman ŠIMON HILSCHER. \textit{Symplectic Difference Systems: Oscillation and Spectral Theory}. Cham: Birkhäuser/Springer, 2019, 593 pp. Pathways in Mathematics. ISBN~978-3-030-19372-0. Available from: https://dx.doi.org/10.1007/978-3-030-19373-7.
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