Palaniappan Kannappan
Springer US
2009e druk, 2009
9780387894911
Functional Equations and Inequalities with Applications
Specificaties
Gebonden, 816 blz.
|
Engels
Springer US |
2009e druk, 2009
ISBN13: 9780387894911
Rubricering
Onderdeel van serie
Springer Monographs in Mathematics
Levertijd ongeveer 8 werkdagen
Samenvatting
Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. Each chapter examines a particular family of equations and gives an in-depth study of its applications as well as examples and exercises to support the material.
Specificaties
ISBN13:9780387894911
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:816
Uitgever:Springer US
Druk:2009
Inhoudsopgave
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.