Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces
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We obtain the general solution of the generalized mixed additive and quadratic functional equationfx+my+fx−my=2fx−2m2fy+m2f2y,mis even;fx+y+fx−y−2m2−1fy+m2−1f2y,mis odd, for a positive integerm. We establish the Hyers-Ulam stability for these functional equations in non-Archimedean normed spaces whenmis an even positive integer orm=3.
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2011 ◽
Vol 403-408
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pp. 879-887
2014 ◽
Vol 07
(06)
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pp. 368-378
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2015 ◽
Vol 08
(05)
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pp. 640-649
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2012 ◽
Vol 10
(01)
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pp. 1220020
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