Introduction to Structurally Stable Systems of Differential Equations

Lingua: inglese

Editore: Birkhäuser, Birkhäuser Dez 2012, 2012

303489712X / 9783034897129

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This item is printed on demand - Print on Demand Titel. Neuware -This book is based on a one year course of lectures on structural sta bility of differential equations which the author has given for the past several years at the Department of Mathematics and Mechanics at the University of Leningrad. The theory of structural stability has been developed intensively over the last 25 years. This theory is now a vast domain of mathematics, having close relations to the classical qualitative theory of differential equations, to differential topology, and to the analysis on manifolds. Evidently it is impossible to present a complete and detailed account of all fundamental results of the theory during a one year course. So the purpose of the course of lectures (and also the purpose of this book) was more modest. The author was going to give an introduction to the language of the theory of structural stability, to formulate its principal results, and to introduce the students (and also the readers of the book) to some of the main methods of this theory. One can select two principal aspects of modern theory of structural stability (of course there are some conventions attached to this state ment). The first one, let us call it the 'geometric' aspect, deals mainly with the description of the picture of trajectories of a system; and the second, let us say the 'analytic' one, has in its centre the method for solving functional equations to find invariant manifolds, conjugating homeomorphisms, and so forth.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 204 pp. Englisch.…

Codice articolo 9783034897129

Titolo
Introduction to Structurally Stable Systems of Differential Equations
Autore
S. Y. Pilyugin
Editore
Birkhäuser, Birkhäuser Dez 2012
Anno di pubblicazione
2012
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
303489712X
ISBN 13
9783034897129
Peso dell'articolo
362 grammi
Dimensioni
244x170x12 mm

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