Nonlinear Integral Equations in Abstract Spaces

Dajun Guo, V. Lakshmikantham, Xinzhi Liu

ISBN 10: 0792341449 / ISBN 13: 9780792341444

Edité par SPRINGER NATURE, 1996

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Zustand: Sehr gut | Seiten: 344 | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 3019832/2

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Titre : Nonlinear Integral Equations in Abstract ...

Éditeur : SPRINGER NATURE

Date d'édition : 1996

Reliure : Couverture rigide

Etat : Sehr gut

A propos de ce titre

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.