Stability and Periodic Solutions Of Ordinary and Functional Differential Equations - Couverture souple

Burton, T A

Couverture souple

ISBN 10 : 0486442543 ISBN 13 : 9780486442549

Editeur : Dover Publications Inc., 2005

Synopsis

This book's coverage of differential equations begins with the structure of the solution space and the stability and periodic properties of linear ordinary and Volterra differential equations. Discusses the fixed-point theorems of Banach, Brouwer, Browder, Horn, Schauder, and Tychonov and concludes with the basic stability and periodicity theory for nonlinear ordinary and functional differential equations. 1985 edition.

A propos du livre

Présentation de l'éditeur

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;
methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and
methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.

As a result, the book represents a blend of new methods in general computational analysis,
and specific, but also generic, techniques for study of systems theory ant its particular
branches, such as optimal filtering and information compression.

- Best operator approximation,
- Non-Lagrange interpolation,
- Generic Karhunen-Loeve transform
- Generalised low-rank matrix approximation
- Optimal data compression
- Optimal nonlinear filtering

Détails de l'édition

• Éditeur: Dover Publications Inc.
• Date d'édition: 2005
• Langue: anglais
• ISBN 10: 0486442543
• ISBN 13: 9780486442549
• Reliure: Broché
• Nombre de pages: 342
• Coordonnées du fabricant: non disponible
• Personne responsable: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italie