Methods in Nonlinear Integral Equations (Paperback)

R. Precup

ISBN 10: 9048161142 / ISBN 13: 9789048161140

Published by Springer, Dordrecht, 2011

About this Item

Paperback. Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9789048161140

Bibliographic Details

• Title: Methods in Nonlinear Integral Equations (Paperback)
• Publisher: Springer, Dordrecht
• Publication Date: 2011
• Language: English
• ISBN 10: 9048161142
• ISBN 13: 9789048161140
• Binding: Paperback
• Condition: new

About this title

Synopsis

Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis.

Review

From the reviews:

"This book deals with several methods of nonlinear analysis for the investigation of nonlinear integral equations ... . Necessary abstract results of nonlinear analysis ... are provided. ... new points of view, extensions and applications are presented. ... The presentation is self-contained and therefore should be useful to find the current ideas and methods." (V. Lakshmikantham, Zentralblatt MATH, Vol. 1060 (11), 2005)