Nonlinear Integral Equations in Abstract Spaces (Hardcover) (ISBN-13: 9780792341444)

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.

Author: Dajun Guo,V. Lakshmikantham,Xinzhi Liu
ISBN-10: 0792341449
ISBN-13: 9780792341444
Publisher: Springer
Language: English
Published: 09/30/1996
Pages: 344
Format: Hardcover
Weight: 1.48lbs
Size: 9.21h x 6.14w x 0.81d