
Nonlinear Integral Equations in Abstract Spaces
Kluwer Academic Publishers
Published on 30. September 1996
Book
Hardback
VIII, 344 pages
978-0-7923-4144-4 (ISBN)
Description
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.
More details
Series
Edition
1996 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
VIII, 344 p.
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 21 mm
Weight
671 gr
ISBN-13
978-0-7923-4144-4 (9780792341444)
DOI
10.1007/978-1-4613-1281-9
Schweitzer Classification
Other editions
Additional editions

Dajun Guo | V. Lakshmikantham | Xinzhi Liu
Nonlinear Integral Equations in Abstract Spaces
Book
11/2013
Springer
€106.99
Shipment within 15-20 days
Content
Preface. 1. Preliminaries. 2. Nonlinear Integral Equations in Banach Spaces. 3. Nonlinear Integro-Differential Equations in Banach Spaces. 4. Nonlinear Impulsive Integral Equations in Banach Spaces. References.