Geodesic
Solution and stability of a reciprocal type functional equation in several variables
Ravi, K.1 ; Thandapani, E.2 ; Kumar, B.V. Senthil3
1 PG & Research Department of Mathematics, Sacred Heart College, Tirupattur - 635 601, TamilNadu, India
2 Ramanujan Institute of Advance Study in Mathematics, University of Madras, Chepauk, Chennai- 600 005, Tamil Nadu, India
3 Department of Mathematics, C. Abdul Hakeem College of Engg. and Tech., Melvisharam - 632 509, TamilNadu, India
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 1, p. 18-27.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we obtain the general solution and investigate the generalized Hyers-Ulam stability of a reciprocal type functional equation in several variables of the form
$\frac{\Pi^m_{ i=2} r(x_1 + x_i)}{\sum ^m_{i=2}[\Pi^m_{ j=2, j\neq i} r(x_1+x_j)]}=\frac{\Pi ^m _{i=1} r(x_i)}{\sum ^m_{i=2}r(x_1)[\Pi^m_{ j=2, j\neq i} r(x_j)]+ (m - 1)\Pi^m_{ i=2} r(x_i)}$
where $m$ is a positive integer with $m \geq 3$.
DOI : 10.22436/jnsa.007.01.03
Classification : 39B22, 39B52, 39B72
Keywords: Rassias reciprocal functional equation, General reciprocal functional equations, Adjoint and difference functional equations

Ravi, K. 1 ; Thandapani, E. 2 ; Kumar, B.V. Senthil 3

1 PG & Research Department of Mathematics, Sacred Heart College, Tirupattur - 635 601, TamilNadu, India
2 Ramanujan Institute of Advance Study in Mathematics, University of Madras, Chepauk, Chennai- 600 005, Tamil Nadu, India
3 Department of Mathematics, C. Abdul Hakeem College of Engg. and Tech., Melvisharam - 632 509, TamilNadu, India 
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Ravi, K.; Thandapani, E.; Kumar, B.V. Senthil. Solution and stability of a reciprocal type functional equation in several variables. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 1, p. 18-27. doi : 10.22436/jnsa.007.01.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.01.03/

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