On a bi-quadratic functional equation and its stability

Nonlinear Analysis, Theory, Methods and Applications

Volumn 62, Issue 4, 2005, Pages 643-654

  Park, Won Gil ^a   Bae, Jae Hyeong ^b  

^a Chungnam National University   (South Korea)

^b Kyung Hee University   (South Korea)

Author keywords

Bi quadratic mapping; Solution; Stability

Indexed keywords

ALGORITHMS; DIFFERENCE EQUATIONS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; STABILITY; THEOREM PROVING; TOPOLOGY;

BI-QUADRAIC MAPPING; METRIC GROUP; SOLUTION; ULAM STABILITY;

NONLINEAR EQUATIONS;

EID: 20444457965     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.03.075     Document Type: Article

References (7)

1. J. Aczél, and J. Dhombres Functional Equations in Several Variables 1989 Cambridge University Press Cambridge
2. J.K. Chung, and P.K. Sahoo On the general solution of a quartic functional equation Bull. Korean Math. Soc. 40 2003 565 576
3. P. Gǎvruta A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings J. Math. Anal. Appl. 184 1994 431 436
4. D.H. Hyers On the stability of the linear functional equation Proc. Nat. Acad. Sci. 27 1941 222 224
5. J.M. Rassias Solution of the Ulam stability problem for quartic mappings Glasnik Matematički 34 1999 243 252
6. Th.M. Rassias On the stability of linear mappings in Banach spaces Proc. Amer. Math. Soc. 72 1978 297 300
7. S.M. Ulam A Collection of Mathematical Problems 1968 Interscience Publishers New York p. 63