Functional Equations and Inequalities: Solutions and Stability Results

✍ Scribed by K Ravi; B V Senthil Kumar; John Michael Rassias

Publisher: World Scientific Publishing Company
Year: 2017
Tongue: English
Leaves: 397
Series: Series on Concrete & Applicable Mathematics
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations.

✦ Table of Contents

Preface
Contents
1 Functional Equations and Applications
2 Historical Development of Functional Equations
3 Methods of Solving Functional Equations
4 General Solution of Euler–Lagrange Quadratic Type Functional Equations
5 General Solution of Cubic Type Functional Equations
6 General Solution of Quartic Type Functional Equations
7 General Solution of Quintic and Sextic Functional Equations
8 Mixed Type Functional Equations
9 Mixed Type Functional Equations
10 Two-Variable and Three-Variable Functional Equations
11 The Ulam Stability Problem
12 Stability of Functional Equations in Various Spaces
13 Functional Inequalities
14 Ulam–Hyers Stabilities of Functional Equations in Felbin’s Normed Spaces
15 Stabilities of Functional Equations on C∗-algebras and Lie C∗-algebras
16 Ulam Stability of Mixed Type Mappings on Restricted Domains
17 Related Topics on Distributions and Hyperfunctions and Jordan Lie Homomorphisms
18 Exercises and Open Problems
Bibliography
Index

📜 SIMILAR VOLUMES

Functional Equations, Difference Inequal

📁 Functional Equations, Difference Inequalities and Ulam Stability Notions

✍ Rassias J.M. (ed.) 📂 Library 📅 2010 🏛 Nova 🌐 English

This book is a forum for exchanging ideas among eminent mathematicians and physicists, from many parts of the world, as a tribute to the first centennial birthday anniversary of Stanislaw Marcin ULAM. This collection is composed of outstanding contributions in mathematical and physical equations and

Stability and Periodic Solutions of Ordi

📁 Stability and Periodic Solutions of Ordinary and Functional Differential Equations

✍ T.A. Burton (Eds.) 📂 Library 📅 1985 🏛 AP 🌐 English

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang

Stability and Periodic Solutions of Ordi

📁 Stability and Periodic Solutions of Ordinary and Functional Differential Equations

✍ T.A. Burton (Eds.) 📂 Library 📅 1985 🏛 Academic Pr 🌐 English

Functional equations and inequalities

📁 Functional equations and inequalities

✍ J. Aczél (auth.), Prof. B. Forte (eds.) 📂 Library 📅 2011 🏛 Springer-Verlag Berlin Heidelberg

<p>J. Aczél: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les équations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Gol

Functional Equations and Inequalities

📁 Functional Equations and Inequalities

✍ J. Aczél (auth.), Prof. B. Forte (eds.) 📂 Library 📅 2011 🏛 Springer-Verlag Berlin Heidelberg

Functional Equations and Inequalities

📁 Functional Equations and Inequalities

✍ Themistocles M. Rassias (auth.) 📂 Library 📅 2000 🏛 Springer Netherlands 🌐 English

This volume provides an extensive study of some of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition of trigonometric functions, the functional equation of the square root sp