Constant-Sign Solutions of Systems of Integral Equations
1st Edition
Published on 4. October 2013
Book
Hardback
XIV, 648 pages
978-3-319-01254-4 (ISBN)
Description
This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations. In particular, the focus is on different systems of Volterra and Fredholm equations. The presentation is systematic and the material is broken down into several concise chapters. An introductory chapter covers the basic preliminaries. Throughout the book many examples are included to illustrate the theory. The book contains a wealth of results that are both deep and interesting.
This unique book will be welcomed by mathematicians working on integral equations, spectral theory, and on applications of fixed point theory and boundary value problems.
Reviews / Votes
From the book reviews:
"The book is devoted to the study of nonlinear Volterra and Fredholm integral equations. This extremely clear, well-written and self-contained monograph offers to a wide class of readers a valuable theoretical foundation in the theory of nonlinear integral equations and their applications to nonlinear boundary value problems encountered in various fields of the physical, chemical, and biological sciences. . Throughout the book many mathematical examples are included to illustrate the theory." (D. G. Natroshvili, Mathematical Reviews, June, 2014)
More details
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Research
Illustrations
XIV, 648 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 40 mm
Weight
1150 gr
ISBN-13
978-3-319-01254-4 (9783319012544)
DOI
10.1007/978-3-319-01255-1
Schweitzer Classification
Other editions
Additional editions
Ravi P. Agarwal | Donal O'Regan | Patricia J. y. Wong
Constant-Sign Solutions of Systems of Integral Equations
Book
08/2016
Springer
€106.99
Shipment within 10-15 days
Ravi P. Agarwal | Donal O'Regan | Patricia J. y. Wong
Constant-Sign Solutions of Systems of Integral Equations
E-Book
09/2013
1st Edition
Springer
€96.29
Available for download
Persons
Ravi P. Agarwal is a Professor at the Texas A&M University in Kingsville, USA. He is also a Distinguished University Professor of Mathematics at the Florida Institute of Technology, Melbourne, FL, USA. He did his PhD at the Indian Institute of Technology, India. Dr. Agarwal authored, co-authored and co-edited over 60 books, including "An Introduction to Ordinary Differential Equations" (978-0-387-71275-8) and "Ordinary and Partial Differential Equations" (978-0-387-79145-6), both co-authored by Donal O'Regan and published by Springer.
Simona Hodis is an Assistant Professor at the Texas A&M University in Kingsville, USA. She got her PhD from the University of Western Ontario, Canada. Her research interests include mathematical modeling in medicine and engineering, fluid dynamics, applied mathematics, partial differential equations, and numerical analysis.
Donal O'Regan is a Professor at the National University of Ireland.His research interests are in nonlinear functional analysis. His previous publications with Springer include "Constant-Sign Solutions of Systems of Integral Equations" (978-3-319-01254-4) and "Fixed Point Theory for Lipschitzian-type Mappings with Applications" (978-0-387-75817-6), both as a co-author.
Content
Introduction and Preliminaries.- System of Fredholm Integral Equations: Existence of a Constant-Sign Solution.- System of Fredholm Integral Equations: Eigenvalues.- System of Fredholm Integral Equations: Triple Constant-Sign Solutions.- System of Fredholm Integral Equations: Existence of a Constant-Sign
Lp
Solution.- System of Fredholm Integral Equations: Semipositone and Singular Case.- Systems of Fredholm and Volterra Integral Equations: Integrable Singularities.- Systems of Higher Order Boundary Value Problems: Integrable Singularities.- System of Volterra Integral Equations: Integrable Singularities.- Systems of Fredholm and Volterra Integral Equations: the Singular Case.- System of Singular Fredholm Integral Equations.- System of Singular Integral Equations of Hammerstein Type.- System Modeling the Spread of Interdependent Epidemics: Constant-Sign Periodic Solutions.- System of Hill's Equations: Constant-Sign Periodic Solutions.- System of Integral Equations: Constant-Sign Periodic and Almost Periodic Solutions.- System of Fredholm Integral Equations: Solutions in Orlicz Spaces.- System of Volterra Integral Equations: Constant-Sign Solutions in Orlicz Spaces.- System of Urysohn Integral Equations: Existence of a Constant-Sign Solution.- System of Fredholm Integral Equations: Existence Results via Brezis-Browder Arguments.- System of Volterra Integral Equations: Existence Results via Brezis-Browder Arguments.- Bibliography.- Subject Index.