| Title:
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NONLINEAR INTEGRAL EQUATIONS IN ABSTRACT SPACES
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| By: |
Dajun Guo, V. Lakshmikantham, Xinzhi Liu |
| Format: |
Paperback |
| List price:
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£82.00 |
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| ISBN 10: |
146128547X |
| ISBN 13: |
9781461285472 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
26 November, 2013 |
| Edition: |
Softcover reprint of the original 1st ed. 1996 |
| Series: |
Mathematics and Its Applications 373 |
| Pages: |
344 |
| 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. |
| Illustrations: |
VIII, 344 p. |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |