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Hyers-Ulam Stability of Bessel Equations

Published 17 May 2018 in math.CA and math.FA | (1805.06704v2)

Abstract: We analyse different kinds of stabilities for the Bessel equation and for the modified Bessel equation with initial conditions. Sufficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, $\sigma$-semi-Hyers-Ulam and Hyers-Ulam stabilities for those equations. Those sufficient conditions are obtained based on the use of integral techniques and majorations.

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