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Stability and periodic solutions of ordinary and functional differential equations /

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-Lagrang...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Burton, T. A. (Theodore Allen), 1935-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Orlando : Academic Press, 1985.
Colección:Mathematics in science and engineering ; v. 178.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Burton, T. A.  |q (Theodore Allen),  |d 1935- 
245 1 0 |a Stability and periodic solutions of ordinary and functional differential equations /  |c T.A. Burton. 
260 |a Orlando :  |b Academic Press,  |c 1985. 
300 |a 1 online resource (x, 337 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Mathematics in science and engineering ;  |v v. 178 
504 |a Includes bibliographical references (pages 325-331). 
588 0 |a Print version record. 
505 0 |a Front Cover; Stability and Periodic Solutions of Ordinary and Functional Differential Equations; Copyright Page; Contents; Preface; Chapter 0 An Overview; 0.1 Survey of Chapter 1; 0.2 Survey of Chapter 2; 0.3 Survey of Chapter 3; 0.4 Survey of Chapter 4; Chapter 1 Linear Differential and Integrodifferential Equations; 1.0 The General Setting; 1.1 Linear Ordinary Differential Equations; 1.2 Periodic Solutions of Linear Differential Equations; 1.3 Linear Volterra Equations; 1.4 Periodic Solutions of Convolution Equations; 1.5 Periodic Solutions of Nonconvolution Equations. 
505 8 |a 1.6 Stability and BoundednessChapter 2 History, Motivation, Examples; 2.1 Classical Second-Order Equations; 2.2 Problems with a Delay; 2.3 Biology, Economics, and Epidemics; 2.4 Sources of Models; Chapter 3 Fixed-Point Theory; 3.1 Compactnes in Metric Spaces; 3.2 Contraction Mappings; 3.3 Existence Theorems for Linear Equations; 3.4 Schauder's Fixed-Point Theorem; 3.5 Existence Theorems for Nonlinear Equations; Chapter 4 Limit Sets, Periodicity, and Stability; 4.1 Ordinary Differential Equations; 4.2 Equations with Bounded Delays; 4.3 Volterra Equations with Infinite Delay. 
505 8 |a 4.4 Stability of Systems with Unbounded DelaysReferences; Author Index; Subject Index. 
520 |a 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. 
546 |a English. 
650 0 |a Differential equations  |x Numerical solutions. 
650 0 |a Functional differential equations  |x Numerical solutions. 
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650 7 |a �Equations diff�erentielles.  |2 ram 
650 7 |a �Equations diff�erentielles fonctionnelles.  |2 ram 
776 0 8 |i Print version:  |a Burton, T.A. (Theodore Allen), 1935-  |t Stability and periodic solutions of ordinary and functional differential equations.  |d Orlando : Academic Press, 1985  |z 0121473600  |w (DLC) 85007403  |w (OCoLC)11971834 
830 0 |a Mathematics in science and engineering ;  |v v. 178. 
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