書目名稱 | Nonlinear Integral Equations in Abstract Spaces | 編輯 | Dajun Guo,V. Lakshmikantham,Xinzhi Liu | 視頻video | http://file.papertrans.cn/668/667537/667537.mp4 | 叢書名稱 | Mathematics and Its Applications | 圖書封面 |  | 描述 | 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 Bana | 出版日期 | Book 1996 | 關(guān)鍵詞 | Integral equation; banach spaces; development; equation; integral; mathematics; online; presentation; ordina | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4613-1281-9 | isbn_softcover | 978-1-4612-8547-2 | isbn_ebook | 978-1-4613-1281-9 | copyright | Springer Science+Business Media Dordrecht 1996 |
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