
Functional Equations and Inequalities
Solutions and Stability Results
- 396 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Functional Equations and Inequalities
Solutions and Stability Results
About this book
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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.
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Information
Table of contents
- Cover
- Halftitle
- Series
- Title
- Copyright
- Dedication
- Preface
- Contents
- 1. Functional Equations and Applications
- 2. Historical Development of Functional Equations
- 3. Methods of Solving Functional Equations
- 4. General Solution of EulerâLagrange 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 (continued)
- 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. UlamâHyers Stabilities of Functional Equations in Felbinâs Normed Spaces
- 15. Stabilities of Functional Equations on Câ-algebras and Lie Câ-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