Symplectic Difference Systems: Oscillation and Spectral Theory

Ondřej Došlý, Julia Elyseeva, Roman Šimon Hilscher (Autoren)

Buch | Hardcover

XV, 593 Seiten

2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-19372-0 (ISBN)

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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.

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.

Erscheinungsdatum	22.09.2019
Reihe/Serie	Pathways in Mathematics
Zusatzinfo	XV, 593 p. 7 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	1029 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	comparative index • eigenvalue problem • Focal Point • linear hamiltonian system • oscillation theorem • quadratic functional • recessive solution at infinity • riccati difference equation • symplectic system
ISBN-10	3-030-19372-1 / 3030193721
ISBN-13	978-3-030-19372-0 / 9783030193720
Zustand	Neuware