2019
Symplectic Difference Systems: Oscillation and Spectral Theory
DOŠLÝ, Ondřej, Julia ELYSEEVA a Roman ŠIMON HILSCHERZákladní údaje
Originální název
Symplectic Difference Systems: Oscillation and Spectral Theory
Název česky
Symplektické diferenční systémy: oscilační a spektrální teorie
Autoři
DOŠLÝ, Ondřej (203 Česká republika, domácí), Julia ELYSEEVA (643 Rusko) a Roman ŠIMON HILSCHER (203 Česká republika, garant, domácí)
Vydání
Cham, 593 s. Pathways in Mathematics, 2019
Nakladatel
Birkhäuser/Springer
Další údaje
Jazyk
angličtina
Typ výsledku
Odborná kniha
Obor
10101 Pure mathematics
Stát vydavatele
Švýcarsko
Utajení
není předmětem státního či obchodního tajemství
Forma vydání
tištěná verze "print"
Odkazy
Kód RIV
RIV/00216224:14310/19:00107619
Organizační jednotka
Přírodovědecká fakulta
ISBN
978-3-030-19372-0
Klíčová slova česky
symplektický diferenční systém; oscilace; fokální bod; komparativní index; vlastní hodnota; relativní oscilace; recesivní řešení; dominantní řešení; Sturmova věta
Klíčová slova anglicky
Symplectic difference system; oscillation; focal point; comparative index; eigenvalue problem; relative oscillation; recessive solution; dominant solution; Sturmian theorem
Štítky
Příznaky
Mezinárodní význam, Recenzováno
Změněno: 29. 4. 2020 11:09, Mgr. Marie Šípková, DiS.
V originále
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.
Česky
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.
Návaznosti
| GA16-00611S, projekt VaV |
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