论文信息 - Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias Stabilities of an Additive Functional Equation in Several Variables

Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias Stabilities of an Additive Functional Equation in Several Variables

It is well known that the concept of Hyers-Ulam-Rassias stability was originated by Th. M. Rassias (1978) and the concept of Ulam-Gavruta-Rassias stability was originated by J. M. Rassias (1982–1989) and by P. Găvruta (1999). In this paper, we give results concerning these two stabilities.

Paisan Nakmahachalasint | P. Nakmahachalasint

[1] Paisan Nakmahachalasint,et al. On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations , 2007, Int. J. Math. Math. Sci..

[2] D. H. Hyers. On the Stability of the Linear Functional Equation. , 1941, Proceedings of the National Academy of Sciences of the United States of America.

[3] S. Ulam. Problems in modern mathematics , 1964 .

[4] Bouikhalene Belaid,et al. Ulam-Gavruta-Rassias stability of the Pexider functional Equation , 2007 .

[5] T. Rassias. On the stability of the linear mapping in Banach spaces , 1978 .

[6] K. Jun,et al. Stability problem of Ulam for generalized forms of Cauchy functional equation , 2005 .

[7] John Michael Rassias,et al. On approximation of approximately linear mappings by linear mappings , 1982 .

[8] Soon-Mo Jung,et al. Hyers-Ulam-Rassias stability of Jensen's equation and its application , 1998 .

[9] Won-Gil Park,et al. On a Cauchy-Jensen functional equation and its stability , 2006 .

[10] M. Arunkumar,et al. ON THE ULAM-GAVRUTA-RASSIAS STABILITY OF THE ORTHOGONALLY EULER-LAGRANGE TYPE FUNCTIONAL EQUATION , 2007 .

[11] J. Rassias. Solution of a problem of Ulam , 1989 .