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

Guo, Dajun; Lakshmikantham, V.; Xinzhi Liu

 
9780792341444: Nonlinear Integral Equations in Abstract Spaces: 373 (Mathematics and Its Applications, 373)
Hardcover
ISBN 10: 0792341449 ISBN 13: 9780792341444
Publisher: Springer, 1996

Synopsis

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.

"synopsis" may belong to another edition of this title.

Synopsis

This text is devoted to a comprehensive treatment of nonlinear integral equations in abstract spaces. It provides a systematic presentation of the subject and includes recent developments.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
1996
Language
English
ISBN 10 
0792341449
ISBN 13 
9780792341444
Binding
Hardcover
Number of pages
352

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9781461285472: Nonlinear Integral Equations in Abstract Spaces: 373 (Mathematics and Its Applications, 373)

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