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Linear and Nonlinear Integral Equations: Methods and Applications - Softcover

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9783642214509: Linear and Nonlinear Integral Equations: Methods and Applications

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Synopsis

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.

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Review

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“This is a useful book that concerns solution methods for integral equations of Volterra and Fredholm type of the 1st and 2nd kinds. The book focuses on methods and applications and this sets it apart from other works which have more focus on theory and analysis. The book is therefore accessible to a wide range of researchers and advanced students who will find it answers many of their practical problems of how to get started with a particular approach.” (Neville Ford, Zentralblatt MATH, Vol. 1227, 2012)

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9783642214486: Linear and Nonlinear Integral Equations: Methods and Applications

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ISBN 10:  3642214487 ISBN 13:  9783642214486
Publisher: Springer Verlag, 2011
Hardcover