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＜電子ブック＞
Nonlinear Integral Equations in Abstract Spaces / by Dajun Guo, V. Lakshmikantham, Xinzhi Liu
(Mathematics and Its Applications ; 373)

版	1st ed. 1996.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	1996
本文言語	英語
大きさ	VIII, 344 p : online resource
著者標目	*Guo, Dajun author Lakshmikantham, V author Xinzhi Liu author SpringerLink (Online service)
件　名	LCSH:Integral equations LCSH:Differential equations LCSH:Functional analysis LCSH:Operator theory FREE:Integral Equations FREE:Differential Equations FREE:Functional Analysis FREE:Operator Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4613-1281-9

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