Methods of nonlinear analysis : applications to differential equations
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are a...
Guardat en:
| Autor principal: | |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Col·lecció: | Birkhäuser Advanced Texts Basler Lehrbücher
|
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme de l'éditeur (Springer) Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Methods of Nonlinear Analysis, Texte imprimé, 9783034803885 • Methods of Nonlinear Analysis, Texte imprimé, 9783034807593 • Methods of nonlinear analysis, applications to differential equations, Pavel Dràbek, Jaroslav Milota, Second edition, 2013, Basel, Birkhäuser/Springer, 1 vol. (X-649 p.), Birkhäuser advanced texts, 3-0348-0386-9 |
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| 100 | 1 | |a Drábek, Pavel, |d 1953- | |
| 245 | 1 | 0 | |a Methods of nonlinear analysis : |b applications to differential equations |c by Pavel Drábek, Jaroslav Milota. |
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Birkhäuser Advanced Texts Basler Lehrbücher |x 2296-4894 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preface -- 1 Preliminaries -- 2 Properties of Linear and Nonlinear Operators -- 3 Abstract Integral and Differential Calculus -- 4 Local Properties of Differentiable Mappings -- 5 Topological and Monotonicity Methods -- 6 Variational Methods -- 7 Boundary Value Problems for Partial Differential Equations -- Summary of Methods -- Typical Applications -- Comparison of Bifurcation Results -- List of Symbols -- Index -- Bibliography. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently. In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists. . | ||
| 776 | 0 | |t Methods of Nonlinear Analysis |b Texte imprimé |z 9783034803885 | |
| 776 | 0 | |t Methods of Nonlinear Analysis |b Texte imprimé |z 9783034807593 | |
| 776 | 0 | |0 168438631 |t Methods of nonlinear analysis |o applications to differential equations |f Pavel Dràbek, Jaroslav Milota |e Second edition |d 2013 |c Basel |n Birkhäuser/Springer |p 1 vol. (X-649 p.) |s Birkhäuser advanced texts |z 3-0348-0386-9 | |
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