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 investigate problems in mathematical analysis, combinatorics, biology, information theory, statistics, physics, the behavioral sciences, and engineering. 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; examples and exercises tosupport the material. Offers a comprehensive coverage of most relevant and classic functional equations Provides a in-depth introductory chapter to supportthe various topics discussed in later chapters Basic reference work for functional equations and inequalities Emphasis on real-world applications in a variety of other disciplines such as topology, economics, business management, physics, geometry, statistics, and behavioral sciences INDICE: Preface.- 1. Basic Equations. Cauchy and Pexider Equations.- 2. Matrix Equations.- 3. Trigonometric Functional Equations.- 4. Quadratic Functional Equations.- 5. Characterization of Inner Product Spaces.- 6. Stability.- 7.Characterization of Polynomials.- 8. Nondifferentiable Functions.- 9. Characterization of Groups, Loops and Closure Conditions.- 10. Functional Equations from Information Theory.- 11. Abel Equations and Generalizations.- 12. Regularity Conditions
- ISBN: 978-0-387-89491-1
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 845
- Fecha Publicación: 01/06/2009
- Nº Volúmenes: 1
- Idioma: Inglés