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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 a Roman ŠIMON HILSCHER. \textit{Symplectic Difference Systems: Oscillation and Spectral Theory}. Cham: Birkhäuser/Springer, 2019, 593 s. Pathways in Mathematics. ISBN~978-3-030-19372-0. Dostupné z: https://dx.doi.org/10.1007/978-3-030-19373-7.
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