Detailed Information on Publication Record
2019
Symplectic Difference Systems: Oscillation and Spectral Theory
DOŠLÝ, Ondřej, Julia ELYSEEVA and Roman ŠIMON HILSCHERBasic information
Original name
Symplectic Difference Systems: Oscillation and Spectral Theory
Name in Czech
Symplektické diferenční systémy: oscilační a spektrální teorie
Authors
DOŠLÝ, Ondřej (203 Czech Republic, belonging to the institution), Julia ELYSEEVA (643 Russian Federation) and Roman ŠIMON HILSCHER (203 Czech Republic, guarantor, belonging to the institution)
Edition
Cham, 593 pp. Pathways in Mathematics, 2019
Publisher
Birkhäuser/Springer
Other information
Language
English
Type of outcome
Odborná kniha
Field of Study
10101 Pure mathematics
Country of publisher
Switzerland
Confidentiality degree
není předmětem státního či obchodního tajemství
Publication form
printed version "print"
References:
RIV identification code
RIV/00216224:14310/19:00107619
Organization unit
Faculty of Science
ISBN
978-3-030-19372-0
Keywords (in Czech)
symplektický diferenční systém; oscilace; fokální bod; komparativní index; vlastní hodnota; relativní oscilace; recesivní řešení; dominantní řešení; Sturmova věta
Keywords in English
Symplectic difference system; oscillation; focal point; comparative index; eigenvalue problem; relative oscillation; recessive solution; dominant solution; Sturmian theorem
Tags
Tags
International impact, Reviewed
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.
In Czech
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.
Links
| GA16-00611S, research and development project |
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