Introduction to functional equations [electronic resource] / Prasanna K. Sahoo, Palaniappan Kannappan.

"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 so...

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Bibliographic Details
Online Access: Full Text (via Taylor & Francis)
Main Author: Sahoo, Prasanna
Other Authors: Kannappan, Pl. (Palaniappan)
Format: Electronic eBook
Language:English
Published: Boca Raton : Chapman and Hall/CRC, ©2011.
Subjects:

MARC

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245 1 0 |a Introduction to functional equations  |h [electronic resource] /  |c Prasanna K. Sahoo, Palaniappan Kannappan. 
260 |a Boca Raton :  |b Chapman and Hall/CRC,  |c ©2011. 
300 |a 1 online resource (xviii, 447 pages) :  |b illustrations. 
336 |a text  |b txt  |2 rdacontent. 
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504 |a Includes bibliographical references and index. 
505 0 |a 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. Hosszú 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 Hosszú functional equation -- 24. Stability of Abel functional equation. 
520 |a "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 selfstudy and classroom useProvided by publisher. 
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700 1 |a Kannappan, Pl.  |q (Palaniappan)  |0 http://id.loc.gov/authorities/names/nb2009022324  |1 http://isni.org/isni/0000000120315665. 
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