Methods in Nonlinear Integral Equations

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 866/5 ( reviews)

Methods in Nonlinear Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Methods in Nonlinear Integral Equations write by R Precup. This book was released on 2013-03-09. Methods in Nonlinear Integral Equations available 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.

Linear and Nonlinear Integral Equations

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Release : 2011-11-24
Genre : Mathematics
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Book Rating : 495/5 ( reviews)

Linear and Nonlinear Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Linear and Nonlinear Integral Equations write by Abdul-Majid Wazwaz. This book was released on 2011-11-24. Linear and Nonlinear Integral Equations available 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.

Introduction to Nonlinear Differential and Integral Equations

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Release : 1960
Genre : Calculus
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Book Rating : /5 ( reviews)

Introduction to Nonlinear Differential and Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Nonlinear Differential and Integral Equations write by Harold Thayer Davis. This book was released on 1960. Introduction to Nonlinear Differential and Integral Equations available in PDF, EPUB and Kindle.

Novel Methods for Solving Linear and Nonlinear Integral Equations

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Release : 2018-12-07
Genre : Mathematics
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Book Rating : 388/5 ( reviews)

Novel Methods for Solving Linear and Nonlinear Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Novel Methods for Solving Linear and Nonlinear Integral Equations write by Santanu Saha Ray. This book was released on 2018-12-07. Novel Methods for Solving Linear and Nonlinear Integral Equations available in PDF, EPUB and Kindle. This book deals with the numerical solution of integral equations based on approximation of functions and the authors apply wavelet approximation to the unknown function of integral equations. The book's goal is to categorize the selected methods and assess their accuracy and efficiency.

Handbook of Integral Equations

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Release : 2008-02-12
Genre : Mathematics
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Book Rating : 052/5 ( reviews)

Handbook of Integral Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Integral Equations write by Andrei D. Polyanin. This book was released on 2008-02-12. Handbook of Integral Equations available 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