Fixed Point Theorems with Applications
1st Edition
Published on 12. May 2023
437 pages
978-1-000-88029-8 (ISBN)
Description
As a very important part of nonlinear analysis, fixed point theory plays a key role in solvability of many complex systems from mathematics applied to chemical reactors, neutron transport, population biology, infectious diseases, economics, applied mechanics, and more.
The main aim of Fixed Point Theorems with Applications is to explain new techniques for investigation of different classes of ordinary and partial differential equations. The development of the fixed point theory parallels the advances in topology and functional analysis. Recent research has investigated not only the existence but also the positivity of solutions for various types of nonlinear equations. This book will be of interest to those working in functional analysis and its applications.
Combined with other nonlinear methods such as variational methods and the approximation methods, the fixed point theory is powerful in dealing with many nonlinear problems from the real world.
The book can be used as a textbook to develop an elective course on nonlinear functional analysis with applications in undergraduate and graduate programs in mathematics or engineering programs.
The main aim of Fixed Point Theorems with Applications is to explain new techniques for investigation of different classes of ordinary and partial differential equations. The development of the fixed point theory parallels the advances in topology and functional analysis. Recent research has investigated not only the existence but also the positivity of solutions for various types of nonlinear equations. This book will be of interest to those working in functional analysis and its applications.
Combined with other nonlinear methods such as variational methods and the approximation methods, the fixed point theory is powerful in dealing with many nonlinear problems from the real world.
The book can be used as a textbook to develop an elective course on nonlinear functional analysis with applications in undergraduate and graduate programs in mathematics or engineering programs.
More details
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
ISBN-13
978-1-000-88029-8 (9781000880298)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Karima Mebarki | Svetlin Georgiev | Smail Djebali
Fixed Point Theorems with Applications
Book
05/2023
1st Edition
Chapman & Hall/CRC
€147.00
Shipment within 10-20 days
Persons
Karima Mebarki is a professor in the Department of Mathematics, Bejaia University, Algeria. Her research interests are: fixed point theory, fixed point index theory, nonlinear ordinary differential equations, and boundary value problems.
Svetlin G. Georgiev is a mathematician who has worked in various aspects of mathematics. Currently, he focuses on harmonic analysis, ordinary differential equations, partial differential equations, time scale calculus, integral equations, and nonlinear analysis. He has published several books with Taylor & Francis/CRC Press.
Smail Djebali works on fixed point theory and applications in differential equations. He is currently a professor at Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia,
Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbes University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently an assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long time behavior.
Svetlin G. Georgiev is a mathematician who has worked in various aspects of mathematics. Currently, he focuses on harmonic analysis, ordinary differential equations, partial differential equations, time scale calculus, integral equations, and nonlinear analysis. He has published several books with Taylor & Francis/CRC Press.
Smail Djebali works on fixed point theory and applications in differential equations. He is currently a professor at Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia,
Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbes University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently an assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long time behavior.
Content
1. Preliminaries. 2. Fixed Point Index for Sums of Two Operators. 3. Positive fixed points for sums of two operators. 4. Applications to ODEs. 5. Applications to Parabolic Equations. 6. Applications to Hyperbolic Equation.
