ABSTRACT

Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values. In order to make the presentation as manageable as p

chapter 1|24 pages

Additive Cauchy Functional Equation

chapter 2|14 pages

Remaining Cauchy Functional Equations

chapter 3|10 pages

Cauchy Equations in Several Variables

chapter 6|14 pages

More Applications of Functional Equations

chapter 7|14 pages

The Jensen Functional Equation

chapter 8|12 pages

Pexider’s Functional Equations

chapter 9|24 pages

Quadratic Functional Equation

chapter 10|22 pages

d’Alembert Functional Equation

chapter 11|32 pages

Trigonometric Functional Equations

chapter 12|14 pages

Pompeiu Functional Equation

chapter 13|16 pages

Hosszu´ Functional Equation

chapter 14|8 pages

Davison Functional Equation

chapter 15|8 pages

Abel Functional Equation

chapter 16|26 pages

Mean Value Type Functional Equations

chapter 17|24 pages

Functional Equations for Distance Measures

chapter 18|20 pages

Stability of Additive Cauchy Equation

chapter 19|16 pages

Stability of Exponential Cauchy Equations

chapter 20|20 pages

Stability of d’Alembert and Sine Equations

chapter 21|32 pages

Stability of Quadratic Functional Equations

chapter 22|10 pages

Stability of Davison Functional Equation

chapter 23|14 pages

Stability of Hosszu´ Functional Equation

chapter 24|12 pages

Stability of Abel Functional Equation