Multiple Solutions of Boundary Value Problems: A Variational Approach - Couverture rigide

Graef, John R; Kong, Lingju

Couverture rigide

ISBN 10 : 9814696544 ISBN 13 : 9789814696548

Editeur : World Scientific Publishing Co Pte Ltd, 2015

Synopsis

Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations. In this monograph, we look at how variational methods can be used in all these settings. In our first chapter, we gather the basic notions and fundamental theorems that will be applied in the remainder of this monograph. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with the Sturm-Liouville problems, multi-point boundary value problems, problems with impulses, partial differential equations, and difference equations. An extensive bibliography is also included.

A propos du livre

Présentation de l'éditeur

Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations. In this monograph, we look at how variational methods can be used in all these settings. In our first chapter, we gather the basic notions and fundamental theorems that will be applied in the remainder of this monograph. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with the Sturm-Liouville problems, multi-point boundary value problems, problems with impulses, partial differential equations, and difference equations. An extensive bibliography is also included.

Revue de presse

The book is well written with a nice balance of illustrative examples included in each chapter. There is much current research activity involving variational methods for solutions of boundary value problems as evidenced by the book's extensive bibliography. The book should be included in the personal library of each member of that research community. --Johnny Henderson, Baylor University, USA

This monograph provides a collection of some recent results that the authors obtained as applications of some general theorems in critical point theory. Hence, the book can be recommended to all applied mathematicians as well as to upper-level graduate students who are interested in the application of variational methods to the study of nonlinear problems. --Mathematical Reviews Clippings

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 9814696544
• ISBN 13: 9789814696548
• Reliure: Relié
• Nombre de pages: 292
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible