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Symplectic Difference Systems: Oscillation and Spectral Theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Symplectic Difference Systems: Oscillation and Spectral Theory/ by Ondřej Došlý, Julia Elyseeva, Roman Šimon Hilscher.
Author:	Došlý, Ondřej.
other author:	Elyseeva, Julia.
Description:	XV, 593 p. 7 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Difference equations. -
Online resource:	https://doi.org/10.1007/978-3-030-19373-7
ISBN:	9783030193737

Symplectic Difference Systems: Oscillation and Spectral Theory
Došlý, Ondřej.

Symplectic Difference Systems: Oscillation and Spectral Theory[electronic resource] /by Ondřej Došlý, Julia Elyseeva, Roman Šimon Hilscher. - 1st ed. 2019. - XV, 593 p. 7 illus. in color.online resource. - Pathways in Mathematics,2367-3451. - Pathways in Mathematics,.

Motivation and Preliminaries -- Basic Theory of Symplectic Systems -- Comparative Index Theory -- Oscillation Theory of Symplectic Systems -- Discrete Symplectic Eigenvalue Problems -- Miscellaneous Topics on Symplectic Systems.

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.

ISBN: 9783030193737

Standard No.: 10.1007/978-3-030-19373-7doiSubjects--Topical Terms:

527665
Difference equations.

LC Class. No.: QA431

Dewey Class. No.: 515.625

Symplectic Difference Systems: Oscillation and Spectral Theory
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