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Item Details
Title: NONLINEAR INTEGRAL EQUATIONS IN ABSTRACT SPACES
By: Dajun Guo, V. Lakshmikantham, Xinzhi Liu
Format: Hardback

List price: £99.99


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 0792341449
ISBN 13: 9780792341444
Publisher: SPRINGER
Pub. date: 30 September, 1996
Edition: 1996 ed.
Series: Mathematics and Its Applications 373
Pages: 344
Description: Presents a comprehensive treatment of nonlinear integral equations in abstract spaces. This book is suitable for mathematicians, engineers, biologists and physical scientists.
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.
Illustrations: VIII, 344 p.
Publication: Netherlands
Imprint: Springer
Returns: Returnable
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