Hyers-ulam stability of differential equation y ′′ +2x y ′ -2ny=0

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Abstract

We solve the inhomogeneous differential equation of the form y ′′ +2x y ′ -2ny= ∑m=0∞ a m xm, where n is a nonnegative integer, and apply this result to the proof of a local Hyers-Ulam stability of the differential equation y ′′ +2x y ′ -2ny=0 in a special class of analytic functions. Copyright © 2010 Soon-Mo Jung.

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Jung, S. M. (2010). Hyers-ulam stability of differential equation y ′′ +2x y ′ -2ny=0. Journal of Inequalities and Applications, 2010. https://doi.org/10.1155/2010/793197

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