Journal
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS
Volume 1, Issue 2, Pages 325-334Publisher
UNIV BELGRADE, FAC ELECTRICAL ENGINEERING
DOI: 10.2298/AADM0702325M
Keywords
Generalized Hyers-Ulam stability; Cauchy functional equation; quadratic functional equation; non-Archimedean space; p-adic field
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Funding
- IPM [85390031]
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We prove the generalized HYERS-ULAM stability of the CAUCHY functional equation f(x + y) = f (x)+ f (y) and the quadratic functional equation f (x + y) + f (x - y) = 2f(x) + 2f(y) in non-Archimedean normed spaces.
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