Title:
Introduction to functional equations
Author:
Sahoo, Prasanna.
ISBN:
9781439841167
Publication Information:
Boca Raton : Chapman and Hall/CRC, 2011.
Physical Description:
xviii, 447 p. : ill.
Contents:
1. Additive cauchy functional equation -- 2. Remaining cauchy functional equations -- 3. Cauchy equations in several variables -- 4. Extension of the cauchy functional equations -- 5. Applications of cauchy functional equations -- 6. More applications of functional equations -- 7. The Jensen functional equation -- 8. Pexider's functional equations -- 9. Quadratic functional equation -- 10. d'Alembert functional equation -- 11. Trigonometric functional equations -- 12. Pompeiu functional equation -- 13. Hossz ͠functional equation -- 14. Davison functional equation -- 15. Abel functional equation -- 16. Mean value type functional equations -- 17. Functional equations for distance measures -- 18. Stability of additive cauchy equation -- 19. Stability of exponential cauchy equations -- 20. Stability of d'Alembert and sine equations -- 21. Stability of quadratic functional equations -- 22. Stability of Davison functional equation -- 23. Stability of Hossz ͠functional equation -- 24. Stability of Abel functional equation.
Abstract:
"Functional equations form a modern branch of mathematics. This book provides an elementary yet comprehensive introduction to the field of functional equations and stabilities. Concentrating on functional equations that are real or complex, the authors present many fundamental techniques for solving these functional equations. Topics covered in the text include Cauchy equations, additive functions, functional equations for distance measures, and Pexider's functional equations. Each chapter points to various developments in abstract domains, such as semigroups, groups, or Banach spaces, and includes exercises for both self-study and classroom use"-- Provided by publisher.
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