Open Access

A. K. Tripathy and A. Satapathy

DOI:  https://doi.org/10.37418/jcsam.1.2.4

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In this work, we investigate the Hyers-Ulam stability of the fourth order Euler’s differential equations of the form
$t^4 y^{(iv)} + \alpha t^3 y”’ + \beta t^2 y” +\gamma t y’ +\delta y = 0,$
on any open interval $I = (a, b)$, $0 < a < b \le\infty$ or $-\infty < a < b < 0$, where $\alpha$, $\beta$, $\gamma$ and $\delta$ are complex constants.

Keywords: Hyers-Ulam stability, Euler’s differential equation.