Solution and Stability of Euler‐Lagrange‐Rassias Quartic Functional Equations in Various Quasinormed Spaces

Heejeong Koh and Dongseung Kang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We obtain the general solution of Euler‐Lagrange‐Rassias quartic functional equation of the following f(ax + by) + f(bx + ay) + (1/2)ab(a − b) 2f(x − y) = (a2 − b2) 2[f(x) + f(y)] + (1/2)ab(a + b) 2f(x + y) . We also prove the Hyers‐Ulam‐Rassias stability in various quasinormed spaces when b = 1 .

Date: 2013
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https://doi.org/10.1155/2013/908168

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:908168

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