02884nam a2200337Ia 4500 CAH0KE11901PDF FlBoTFG 20171224123430.0 m|||||o||d|||||||| cr|||| 110525s2011 flua sb 001 0 eng d 9781439841167 (ebook : PDF) FlBoTFG FlBoTFG QA431 .S15 2011 515.75 S131 Sahoo, Prasanna. Introduction to functional equations [electronic resource] / Prasanna K. Sahoo, Palaniappan Kannappan. Boca Raton : Chapman and Hall/CRC, 2011. xviii, 447 p. : ill. "A Chapman & Hall book." Includes bibliographical references (p. 417-440) and index. 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�u 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�u functional equation -- 24. Stability of Abel functional equati "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 publish Also available in print editi Mode of access: World Wide W Functional equatio Electronic books. l Kannappan, Pl. (Palaniapp 9781439841 http://marc.crcnetbase.com/isbn/9781439841167 application/PDF Distributed by publisher. Purchase or institutional license may be required for acce 14955 14955