Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems - Couverture rigide

Hastings, Stuart P.; McLeod, J. Bryce

 
9780821846940: Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems
Couverture rigide
ISBN 10 : 0821846949 ISBN 13 : 9780821846940
Editeur : American Mathematical Society, 2012

Synopsis

This text emphasises rigourous mathematical techniques for the analysis of boundary value problems for ODEs arising in applications. The emphasis is on proving existence of solutions, but there is also a substantial chapter on uniqueness and multiplicity questions and several chapters which deal with the asymptotic behaviour of solutions with respect to either the independent variable or some parameter. These equations may give special solutions of important PDEs, such as steady state or travelling wave solutions. Often two, or even three, approaches to the same problem are described. The advantages and disadvantages of different methods are discussed.

The book gives complete classical proofs, while also emphasising the importance of modern methods, especially when extensions to infinite dimensional settings are needed. There are some new results as well as new and improved proofs of known theorems. The final chapter presents three unsolved problems which have received much attention over the years.

Both graduate students and more experienced researchers will be interested in the power of classical methods for problems which have also been studied with more abstract techniques. The presentation should be more accessible to mathematically inclined researchers from other areas of science and engineering than most graduate texts in mathematics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Stuart P. Hastings, University of Pittsburgh, PA, USA.

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J. Bryce McLeod, Oxford University, England, and University of Pittsburgh, PA, USA.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2012
Langue
anglais
ISBN 10 
0821846949
ISBN 13 
9780821846940
Reliure
Relié
Nombre de pages
373
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781470409241: Classical Methods In Ordinary Diff. Equations

Edition présentée

ISBN 10 :  1470409240 ISBN 13 :  9781470409241
Editeur : ORIENT BLACKSWAN, 2012
Couverture souple