Methods in Nonlinear Integral Equations - Tapa blanda

Precup, R

 
9789048161140: Methods in Nonlinear Integral Equations
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ISBN 10: 9048161142 ISBN 13: 9789048161140
Editorial: Springer, 2011

Sinopsis

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.

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Críticas

From the reviews:

"This book deals with several methods of nonlinear analysis for the investigation of nonlinear integral equations ... . Necessary abstract results of nonlinear analysis ... are provided. ... new points of view, extensions and applications are presented. ... The presentation is self-contained and therefore should be useful to find the current ideas and methods." (V. Lakshmikantham, Zentralblatt MATH, Vol. 1060 (11), 2005)

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2011
Idioma
Inglés
ISBN 10 
9048161142
ISBN 13 
9789048161140
Encuadernación
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Número de páginas
236
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

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9781402008443: Methods in Nonlinear Integral Equations

Edición Destacada

ISBN 10:  1402008449 ISBN 13:  9781402008443
Editorial: Springer, 2002
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