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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Bibliografski detalji
Glavni autor: Wazwaz, Abdul-Majid
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Izdanje:1st ed. 2011.
Online pristup:Accès sur la plateforme de l'éditeur
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Bilješka: Description d'après consultation du 26 février 2013
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Archives Springer e-books (Licence nationale)
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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
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100 1 |a Wazwaz, Abdul-Majid. 
245 1 0 |a Linear and nonlinear integral equations :  |b methods and applications   |c by Abdul-Majid Wazwaz. 
250 |a 1st ed. 2011. 
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260 |a Cham :  |b Springer Nature,  |c [20..]. 
500 |a Description d'après consultation du 26 février 2013 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr. Index 
505 1 |a PART I: Linear Integral Equations. Preliminaries Introductory Concepts of Integral Equations Volterra Integral Equations Fredholm Integral Equations Volterra Integro-Differential Equations Fredholm Integro-Differential Equations Abel's Integral Equation and Singular Integral Equations Volterra-Fredholm Integral Equations Volterra-Fredholm Integro-Differential Equations Systems of Volterra Integral Equations Systems of Fredholm Integral Equations.-Systems of Singular Integral Equations.  PART II: Nonlinear Integral Equations. Nonlinear Volterra Integral Equations Nonlinear Volterra Integro-Differential Equations Nonlinear Fredholm Integral Equations Nonlinear Fredholm Integro-Differential Equations Nonlinear Singular Integral Equations Applications of Integral Equations. 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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.    . 
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