Nonlinear Integral Equations in Abstract Spaces: 373 (Mathematics and Its Applications) - Softcover

Guo, Dajun; Lakshmikantham, V.; Xinzhi Liu

 
9781461285472: Nonlinear Integral Equations in Abstract Spaces: 373 (Mathematics and Its Applications)
Softcover
ISBN 10: 146128547X ISBN 13: 9781461285472
Verlag: Springer, 2013

Inhaltsangabe

Many problems arising in the physical sciences, engineering, biology and ap­ plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces. The theory of nonlinear integral equations in ab­ stract spaces is a fast growing field with important applications to a number of areas of analysis as well as other branches of science. This book is devoted to a comprehensive treatment of nonlinear integral equations in abstract spaces. It is the first book that is dedicated to a systematic development of this subject, and it includes the developments during recent years. Chapter 1 introduces some basic results in analysis, which will be used in later chapters. Chapter 2, which is a main portion of this book, deals with nonlin­ ear integral equations in Banach spaces, including equations of Fredholm type, of Volterra type and equations of Hammerstein type. Some applica­ equations tions to nonlinear differential equations in Banach spaces are given. We also discuss an integral equation modelling infectious disease as a typical applica­ tion. In Chapter 3, we investigate the first order and second order nonlinear integro-differential equations in Banach spaces including equations of Volterra type and equations of mixed type. Chapter 4 is devoted to nonlinear impulsive integral equations in Banach spaces and their applications to nonlinear impul­ sive differential equations in Banach spaces.

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Reseña del editor

Many problems arising in the physical sciences, engineering, biology and ap­ plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces. The theory of nonlinear integral equations in ab­ stract spaces is a fast growing field with important applications to a number of areas of analysis as well as other branches of science. This book is devoted to a comprehensive treatment of nonlinear integral equations in abstract spaces. It is the first book that is dedicated to a systematic development of this subject, and it includes the developments during recent years. Chapter 1 introduces some basic results in analysis, which will be used in later chapters. Chapter 2, which is a main portion of this book, deals with nonlin­ ear integral equations in Banach spaces, including equations of Fredholm type, of Volterra type and equations of Hammerstein type. Some applica­ equations tions to nonlinear differential equations in Banach spaces are given. We also discuss an integral equation modelling infectious disease as a typical applica­ tion. In Chapter 3, we investigate the first order and second order nonlinear integro-differential equations in Banach spaces including equations of Volterra type and equations of mixed type. Chapter 4 is devoted to nonlinear impulsive integral equations in Banach spaces and their applications to nonlinear impul­ sive differential equations in Banach spaces.

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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
146128547X
ISBN 13 
9781461285472
Einband
Tapa blanda
Anzahl der Seiten
356
Kontakt zum Hersteller
Nicht verfügbar
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Weitere beliebte Ausgaben desselben Titels

9780792341444: Nonlinear Integral Equations in Abstract Spaces: 373 (Mathematics and Its Applications)

Vorgestellte Ausgabe

ISBN 10:  0792341449 ISBN 13:  9780792341444
Verlag: Springer, 1996
Hardcover