| Nonlinear Integral Equations in Abstract Spaces 1996 Edition Contributor(s): Guo, Dajun (Author), Lakshmikantham, V. (Author), Xinzhi Liu (Author) |
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ISBN: 0792341449 ISBN-13: 9780792341444 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: September 1996 |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Mathematical Analysis - Mathematics | Differential Equations - General |
| Dewey: 515.45 |
| LCCN: 96026714 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.81" H x 6.14" W x 9.21" (1.48 lbs) 344 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |