Nonlinear Integral Equations in Abstract Spaces

Guo, Dajun; Lakshmikantham, V.; Liu, Xinzhi

ISBN 10: 0792341449 / ISBN 13: 9780792341444

Editore: Kluwer Academic Publishers, 1996

Riguardo questo articolo

Presents a comprehensive treatment of nonlinear integral equations in abstract spaces. This book is suitable for mathematicians, engineers, biologists and physical scientists. Series: Mathematics and its Applications. Num Pages: 344 pages, biography. BIC Classification: PBKL. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 20. Weight in Grams: 1490. . 1996. Hardback. . . . .

Codice articolo V9780792341444

Dati bibliografici

• Titolo: Nonlinear Integral Equations in Abstract Spaces
• Editore: Kluwer Academic Publishers
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0792341449
• ISBN 13: 9780792341444
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

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.

Contenuti

Preface. 1. Preliminaries. 2. Nonlinear Integral Equations in Banach Spaces. 3. Nonlinear Integro-Differential Equations in Banach Spaces. 4. Nonlinear Impulsive Integral Equations in Banach Spaces. References.