Nonlinear Integral Equations in Abstract Spaces

di Dajun Guo (Autore)

V. Lakshmikantham (Autore)

Xinzhi Liu (Autore)

Springer, 1996

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.

• Autore: Dajun Guo, V. Lakshmikantham, Xinzhi Liu
• Editore: Springer
• Collana: Mathematics and Its Applications
• Anno: 1996
• Rilegatura: Hardback
• Pagine: 344 p.
• Dimensioni: 235 x 155 mm
• EAN: 9780792341444

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