Title: Nonlinear Integral Equations in Abstract Spaces (Mathematics and Its Applications, 373)
Publisher: Springer
Publication Date: 1996
Language: English
ISBN 10: 0792341449
ISBN 13: 9780792341444
Binding: Hardcover
Condition: New

About this title

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

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.

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