Nonlinear Differential Equations in Ordered Spaces - Couverture rigide

Carl, S.; Heikkila, Seppo

 
9781584880684: Nonlinear Differential Equations in Ordered Spaces
Couverture rigide
ISBN 10 : 1584880686 ISBN 13 : 9781584880684
Editeur : Chapman & Hall/CRC, 2000

Synopsis

Extremality results proved in this Monograph for an abstract operator equation provide the theoretical framework for developing new methods that allow the treatment of a variety of discontinuous initial and boundary value problems for both ordinary and partial differential equations, in explicit and implicit forms. By means of these extremality results, the authors prove the existence of extremal solutions between appropriate upper and lower solutions of first and second order discontinuous implicit and explicit ordinary and functional differential equations. They then study the dependence of these extremal solutions on the data.

The authors begin by developing an existence theory for an abstract operator equation in ordered spaces and offer new tools for dealing with different kinds of discontinuous implicit and explicit differential equation problems. They present a unified approach to the existence of extremal solutions of quasilinear elliptic and parabolic problems and extend the upper and lower solution method to elliptic and parabolic inclusion of hemivariation type using variational and nonvariational methods.

Nonlinear Differential Equations in Ordered Spaces includes research that appears for the first time in book form and is designed as a source book for pure and applied mathematicians. Its self-contained presentation along with numerous worked examples and complete, detailed proofs also make it accessible to researchers in engineering as well as advanced students in these fields.

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

À propos de l?auteur

Carl, S.; Heikkila, Seppo

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

Éditeur
Chapman & Hall/CRC
Date d'édition
2000
Langue
anglais
ISBN 10 
1584880686
ISBN 13 
9781584880684
Reliure
Relié
Nombre de pages
336
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Allemagne

Autres éditions populaires du même titre

9780367398477: Nonlinear Differential Equations in Ordered Spaces

Edition présentée

ISBN 10 :  0367398478 ISBN 13 :  9780367398477
Editeur : Chapman and Hall/CRC, 2019
Couverture souple