Functional Equations and Inequalities with Applications

• Main Author: Kannappan, Palaniappan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2009.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Difference equations.; Functional equations.; Functional analysis.; Applied mathematics.; Engineering mathematics.; Difference and Functional Equations.; Functional Analysis.; Applications of Mathematics.

Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. Nowadays, the field of functional equations is an ever-growing branch of mathematics with far-reaching applications; it is increasingly used to...

Table of Contents:

• Basic Equations: Cauchy and Pexider Equations
• Matrix Equations
• Trigonometric Functional Equations
• Quadratic Functional Equations
• Characterization of Inner Product Spaces
• Stability
• Characterization of Polynomials
• Nondifferentiable Functions
• Characterization of Groups, Loops, and Closure Conditions
• Functional Equations from Information Theory
• Abel Equations and Generalizations
• Regularity Conditions—Christensen Measurability
• Difference Equations
• Characterization of Special Functions
• Miscellaneous Equations
• General Inequalities
• Applications.