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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
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
LEADER | 00000cam a2200000 a 4500 | ||
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001 | SCIDIR_ocn676698560 | ||
003 | OCoLC | ||
005 | 20231117032825.0 | ||
006 | m o d | ||
007 | cr cnu---unuuu | ||
008 | 101101s1985 flua ob 001 0 eng d | ||
040 | |a N$T |b eng |e pn |c N$T |d OCLCQ |d OPELS |d OCLCQ |d OPELS |d OCLCF |d E7B |d YDXCP |d EBLCP |d OCLCQ |d DEBSZ |d OCLCQ |d OCLCO |d OCLCA |d LEAUB |d OCLCO |d OCLCQ |d VLY |d S2H |d OCLCO |d OCLCQ |d OCLCO |d COM |d OCLCO |d OCLCQ |d OCLCO | ||
019 | |a 428101215 |a 813230919 |a 1162283413 |a 1397706376 | ||
020 | |a 9780080958675 |q (electronic bk.) | ||
020 | |a 0080958672 |q (electronic bk.) | ||
020 | |a 1282702939 | ||
020 | |a 9781282702936 | ||
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020 | |z 0121473600 | ||
020 | |z 9780121473600 | ||
020 | |z 0121473619 | ||
020 | |z 9780121473617 | ||
035 | |a (OCoLC)676698560 |z (OCoLC)428101215 |z (OCoLC)813230919 |z (OCoLC)1162283413 |z (OCoLC)1397706376 | ||
050 | 4 | |a QA372 |b .B885 1985eb | |
072 | 7 | |a MAT |x 007000 |2 bisacsh | |
082 | 0 | 4 | |a 515.3/5 |2 22 |
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. | |
650 | 6 | |a �Equations diff�erentielles |x Solutions num�eriques. |0 (CaQQLa)201-0013417 | |
650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
650 | 7 | |a Differential equations |x Numerical solutions |2 fast |0 (OCoLC)fst00893451 | |
650 | 7 | |a Functional differential equations |x Numerical solutions |2 fast |0 (OCoLC)fst00936065 | |
650 | 7 | |a Differentialgleichung |2 gnd |0 (DE-588)4012249-9 | |
650 | 7 | |a Periodische Differentialgleichung |2 gnd |0 (DE-588)4503299-3 | |
650 | 7 | |a Stabilit�at |2 gnd |0 (DE-588)4056693-6 | |
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. | |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780121473600 |z Texto completo |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/178 |z Texto completo |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=178 |z Texto completo |