Methods in Nonlinear Integral Equations
Author:   R Precup
Publisher:   Springer-Verlag New York Inc.
Edition:   2002 ed.
ISBN:  

9781402008443


Pages:   218
Publication Date:   31 August 2002
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Our Price $319.44 Quantity:  
Add to Cart

Share |

Methods in Nonlinear Integral Equations


Add your own review!

Overview

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.

Full Product Details

Author:   R Precup
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   1.130kg
ISBN:  

9781402008443


ISBN 10:   1402008449
Pages:   218
Publication Date:   31 August 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

0 Overview.- 1 Compactness in Metric Spaces.- 2 Completely Continuous Operators on Banach Spaces.- 3 Continuous Solutions of Integral Equations via Schauder’s Theorem.- 4 The Leray-Schauder Principle and Applications.- 5 Existence Theory in LP Spaces.- 6 Positive Self-Adjoint Operators in Hilbert Spaces.- 7 The Fréchet Derivative and Critical Points of Extremum.- 8 The Mountain Pass Theorem and Critical Points of Saddle Type.- 9 Nontrivial Solutions of Abstract Hammerstein Equations.- 10 The Discrete Continuation Principle.- 11 Monotone Iterative Methods.- 12 Quadratically Convergent Methods.

Reviews

From the reviews: <p> This book deals with several methods of nonlinear analysis for the investigation of nonlinear integral equations a ] . Necessary abstract results of nonlinear analysis a ] are provided. a ] new points of view, extensions and applications are presented. a ] 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)


Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
 Shopping cart
Mailing List

 

Sign up now