Linear and nonlinear integral equations : methods and applications

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 comp...

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Auteur principal: Wazwaz, Abdul-Majid
Format: Livre numérique
Langue:Anglais
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Édition:1st ed. 2011.
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Note: Description d'après consultation du 26 février 2013
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Edition sous un autre format:• Linear and Nonlinear Integral Equations, Texte imprimé, 9783642214486
• Linear and Nonlinear Integral Equations, Texte imprimé, 9783642214509
Description
Résumé: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.    .
Description:Description d'après consultation du 26 février 2013
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliographie:Bibliogr. Index
ISBN:9783642214493
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