- 期刊
STABILITY OF GENERALIZED ADDITIVE CAUCHY EQUATIONS
摘要
A familiar functional equation f(ax +b) = cf (x) will be solved in the class of functions f : R → R. Applying this result we will investigate the Hyers-Ulam-Rassias stability problem of the generalized additive Cauchy equation The equation is abbreviated in connection with the question of Rassias and Tabor.
延伸閱讀
- Wang, Y., & Guo, Y. (2012). The Cauchy Problem to a Shallow Water Wave Equation with a Weakly Dissipative Term. Abstract and Applied Analysis, 2012(), 1189-1211-681. https://doi.org/10.1155/2012/840919
- Shateri, T. L. (2011). Superstability of Generalized Higher Derivations. Abstract and Applied Analysis, (2011), 653-661. https://doi.org/10.1155/2011/239849
- KIM, G. H. (2000). ON THE STABILITY OF GENERALIZED GAMMA FUNCTIONAL EQUATION. International Journal of Mathematics and Mathematical Sciences, 2000(), 513-520-061. https://doi.org/10.1155/S0161171200003598
- Lee, J. R., An, J. S., & Park, C. (2008). On the Stability of Quadratic Functional Equations. Abstract and Applied Analysis, 2008(), 882-889. https://doi.org/10.1155/2008/628178
- Lee, Y. S. (2011). Stability in Generalized Functions. Abstract and Applied Analysis, (2011), 1849-1863. https://doi.org/10.1155/2011/502903