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Stability Properties of Some Functional Equations

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 52))

Abstract

We prove stability results for a family of functional equations.

Mathematics Subject Classification (2000): Primary 39B82

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References

  1. Sibaha, A., Bouikhalene, B., Elqorachi, E.: Hyers–Ulam–Rassias stability of the K-quadratic functional equation. J. Ineq. Pure Appl. Math. 8, article 89 (2007)

    Google Scholar 

  2. Badora, R.: Stability of K-spherical functions. In: Report of Meeting, The 34th International Symposium on Functional Equations (June 10–19, 1996, Wisła-Jawornik, Poland), p. 164. Aequationes Math. 53 (1997)

    Google Scholar 

  3. Badora, R.: On the stability of a functional equation for generalized trigonometric functions. In: Th.M. Rassias (ed.) Functional Equations and Inequalities, pp. 1–5. Kluwer Academic Publishers (2000)

    Google Scholar 

  4. Badora, R.: On Hyers–Ulam stability of Wilson’s functional equation. Aequationes Math. 60, 211–218 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  5. Badora, R.: On the stability of some functional equations. In: Report of Meeting, 10th International Conference on Functional Equations and Inequalities (September 11-17, 2005, Bȩdlewo, Poland), p.130. Ann. Acad. Paed. Cracoviensis Studia Math. 5 (2006)

    Google Scholar 

  6. Charifi, A., Bouikhalene, B., Elqorachi, E.: Hyers–Ulam–Rassias stability of a generalized Pexider functional equation. Banach J. Math. Anal. 1, 176–185 (2007)

    MathSciNet  MATH  Google Scholar 

  7. Elqorach, E., Akkouchi, M.: The stability of the generalized d’Alembert and Wilson functional equations. Aequationes Math. 66, 241–256 (2003)

    Article  MathSciNet  Google Scholar 

  8. Elqorach, E., Akkouchi, M.: On Hyers–Ulam stability of Cauchy and Wilson equations. Georgian Math. J. 11, 69–82 (2004)

    MathSciNet  Google Scholar 

  9. Elqorach, E., Akkouchi, M.: On Hyers–Ulam stability of the generalized Cauchy and Wilson equations. Publ. Math. Debrecen 66, 283–301 (2005)

    MathSciNet  Google Scholar 

  10. Forti, G.L.: Hyers–Ulam stability of functional equations in several variables. Aequationes Math. 50, 143–190 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  11. Ger, R.: A survey of recent results on stability of functional equations. In: Proc. of the 4th International Conference on Functional Equations and Inequalities (Cracow), pp. 5–36. Pedagogical University of Cracow, Poland (1994)

    Google Scholar 

  12. Greenleaf, F.P.: Invariant means on topological groups and their applications. Van Nostrand Mathematical Studies 16, New York–Toronto–London–Melbourne (1969)

    Google Scholar 

  13. Hyers, D.H., Isac, G., Rassias, Th.M.: Stability of functional equations in several variables. Birkhäuser, Boston–Basel–Berlin (1998)

    Google Scholar 

  14. Székelyhidi, L.: Stability properties of functional equations describing the scientific laws. J. Math. Anal. Appl. 150, 151–158 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  15. Stetkaer, H.: Functional equations and matrix-valued spherical functions. Aequationes Math. 69, 271–292 (2005)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Roman Badora .

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Badora, R. (2011). Stability Properties of Some Functional Equations. In: Rassias, T., Brzdek, J. (eds) Functional Equations in Mathematical Analysis. Springer Optimization and Its Applications(), vol 52. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0055-4_1

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