GENERALIZED HYERS ULAM STABILITY OF AN AQCQ-FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN BANACH SPACES


Authors

CHOONKIL PARK - Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea. MADJID ESHAGHI GORDJI - Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran. ABBAS NAJATI - Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, 56199-11367, Iran.


Abstract

In this paper, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation \[f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + f(2y) + f(-2y) - 4f(y) - 4f(-y)\] in non-Archimedean Banach spaces.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

CHOONKIL PARK, MADJID ESHAGHI GORDJI, ABBAS NAJATI, GENERALIZED HYERS ULAM STABILITY OF AN AQCQ-FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN BANACH SPACES, Journal of Nonlinear Sciences and Applications, 3 (2010), no. 4, 272-281

AMA Style

PARK CHOONKIL, GORDJI MADJID ESHAGHI, NAJATI ABBAS, GENERALIZED HYERS ULAM STABILITY OF AN AQCQ-FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN BANACH SPACES. J. Nonlinear Sci. Appl. (2010); 3(4):272-281

Chicago/Turabian Style

PARK, CHOONKIL, GORDJI , MADJID ESHAGHI, NAJATI, ABBAS. "GENERALIZED HYERS ULAM STABILITY OF AN AQCQ-FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN BANACH SPACES." Journal of Nonlinear Sciences and Applications, 3, no. 4 (2010): 272-281


Keywords


MSC


References