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Symplectic Difference Systems: Oscillation and Spectral Theory

English · Paperback / Softback

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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.

Product details

Authors Ond¿ej Do¿lý, Roman ¿imon Hilscher, Ondre Doslý, Juli Elyseeva, Roma Simon Hilscher, Ondrej Doslý, Julia Elyseeva, Roman Simon Hilscher
Publisher Springer, Berlin
 
Content Book
Product form Paperback / Softback
Publication date 01.09.2020
Subject Natural sciences, medicine, IT, technology > Mathematics > Analysis
 
EAN 9783030193751
ISBN 978-3-0-3019375-1
Pages 593
Illustrations XV, 593 p. 7 illus. in color.
Dimensions (packing) 15.5 x 3.5 x 23.5 cm
 
Series Pathways in Mathematics
Subjects Differentialrechnung und -gleichungen, eigenvalueproblem, linearhamiltoniansystem, symplecticsystem, focalpoint, recessivesolutionatinfinity, quadraticfunctional, comparativeindex, oscillationtheorem, riccatidifferenceequation
 

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