Symplectic Difference Systems: Oscillation and Spectral Theory. 1st ed. 2019

種類:

電子ブック

責任表示:

by Ondřej Došlý, Julia Elyseeva, Roman Šimon Hilscher

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2019

著者名:

• Došlý, Ondřej.
• Elyseeva, Julia.
• Šimon Hilscher, Roman.
• SpringerLink (Online service)

シリーズ名:

Pathways in Mathematics ;

ISBN:

9783030193737 [303019373X]    

注記:

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.

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