Symplectic Difference Systems: Oscillation and Spectral Theory (Pathways in Mathematics) - Hardcover

Došlı, Ondřej; Elyseeva, Julia; Šimon Hilscher, Roman

Hardcover

ISBN 10: 3030193721 ISBN 13: 9783030193720

Publisher: Birkhäuser, 2019

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2019
• Language: English
• ISBN 10: 3030193721
• ISBN 13: 9783030193720
• Binding: Hardcover
• Edition number: 1
• Number of pages: 608