4.2 Article

STABILITY OF FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN SPACES

Journal

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS
Volume 1, Issue 2, Pages 325-334

Publisher

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

Funding

  1. 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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