Symplectic Difference Systems: Oscillation and Spectral Theory

• Main Authors: Došlý, Ondřej (Author, http://id.loc.gov/vocabulary/relators/aut), Elyseeva, Julia (http://id.loc.gov/vocabulary/relators/aut), Šimon Hilscher, Roman (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Pathways in Mathematics,
• Subjects: Difference equations.; Functional equations.; Operator theory.; Difference and Functional Equations.; Operator Theory.

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...

Table of Contents:

• 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.