Nonlinear Integral Equations PDF Download
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Author | : Abdul-Majid Wazwaz |
Publisher | : Springer Science & Business Media |
Total Pages | : 639 |
Release | : 2011-11-24 |
Genre | : Mathematics |
ISBN | : 3642214495 |
Download Linear and Nonlinear Integral Equations Book in PDF, ePub and Kindle
Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.
Author | : R Precup |
Publisher | : Springer Science & Business Media |
Total Pages | : 221 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9401599866 |
Download Methods in Nonlinear Integral Equations Book in PDF, ePub and Kindle
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.
Author | : Harold Thayer Davis |
Publisher | : |
Total Pages | : 590 |
Release | : 1960 |
Genre | : Calculus |
ISBN | : |
Download Introduction to Nonlinear Differential and Integral Equations Book in PDF, ePub and Kindle
Author | : Ravi P. Agarwal |
Publisher | : Nova Publishers |
Total Pages | : 376 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9781590330944 |
Download Nonlinear Integral Equations and Inclusions Book in PDF, ePub and Kindle
Author | : Svetlin G. Georgiev |
Publisher | : |
Total Pages | : 356 |
Release | : 2019-03-26 |
Genre | : |
ISBN | : 9781536150216 |
Download Nonlinear Integral Equations on Time Scales Book in PDF, ePub and Kindle
This book presents an introduction to the theory of nonlinear integral equations on time scales. Many population discrete models such as the logistic model, the Ricker model, the Beverton-Holt model, Leslie-Gower competition model and others can be investigated using nonlinear integral equations on the set of the natural numbers. This book contains different analytical and numerical methods for investigation of nonlinear integral equations on time scales. It is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. Students in mathematical and physical sciences willfind many sections of direct relevance. This book contains nine chapters, and each chapter consists of numerous examples and exercises.
Author | : Andrei D. Polyanin |
Publisher | : CRC Press |
Total Pages | : 1143 |
Release | : 2008-02-12 |
Genre | : Mathematics |
ISBN | : 0203881052 |
Download Handbook of Integral Equations Book in PDF, ePub and Kindle
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa
Author | : Donal O'Regan |
Publisher | : Springer Science & Business Media |
Total Pages | : 230 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401149925 |
Download Existence Theory for Nonlinear Integral and Integrodifferential Equations Book in PDF, ePub and Kindle
The theory of integral and integrodifferential equations has ad vanced rapidly over the last twenty years. Of course the question of existence is an age-old problem of major importance. This mono graph is a collection of some of the most advanced results to date in this field. The book is organized as follows. It is divided into twelve chap ters. Each chapter surveys a major area of research. Specifically, some of the areas considered are Fredholm and Volterra integral and integrodifferential equations, resonant and nonresonant problems, in tegral inclusions, stochastic equations and periodic problems. We note that the selected topics reflect the particular interests of the authors. Donal 0 'Regan Maria Meehan CHAPTER 1 INTRODUCTION AND PRELIMINARIES 1.1. Introduction The aim of this book is firstly to provide a comprehensive existence the ory for integral and integrodifferential equations, and secondly to present some specialised topics in integral equations which we hope will inspire fur ther research in the area. To this end, the first part of the book deals with existence principles and results for nonlinear, Fredholm and Volterra inte gral and integrodifferential equations on compact and half-open intervals, while selected topics (which reflect the particular interests of the authors) such as nonresonance and resonance problems, equations in Banach spaces, inclusions, and stochastic equations are presented in the latter part.
Author | : F. G. Tricomi |
Publisher | : Courier Corporation |
Total Pages | : 256 |
Release | : 2012-04-27 |
Genre | : Mathematics |
ISBN | : 0486158306 |
Download Integral Equations Book in PDF, ePub and Kindle
Authoritative, well-written treatment of extremely useful mathematical tool with wide applications. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, more. Advanced undergraduate to graduate level. Exercises. Bibliography.
Author | : A. Alberto Magrenan |
Publisher | : Academic Press |
Total Pages | : 402 |
Release | : 2018-02-13 |
Genre | : Mathematics |
ISBN | : 0128094931 |
Download A Contemporary Study of Iterative Methods Book in PDF, ePub and Kindle
A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that is suitable for aiding in the solution of advanced problems in engineering, mathematical economics, mathematical biology and other applied sciences. Iteration methods are also applied for solving optimization problems. In such cases, the iteration sequences converge to an optimal solution of the problem at hand. Contains recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces Encompasses the novel tool of dynamic analysis for iterative methods, including new developments in Smale stability theory and polynomiography Explores the uses of computation of iterative methods across non-linear analysis Uniquely places discussion of derivative-free methods in context of other discoveries, aiding comparison and contrast between options
Author | : Zeev Nehari |
Publisher | : |
Total Pages | : 34 |
Release | : 1959 |
Genre | : Integral equations |
ISBN | : |
Download On a Class of Nonlinear Integral Equations Book in PDF, ePub and Kindle