### ULAM TYPE STABILITY FOR A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

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#### Abstract

In this paper, we are concerned with the stability problem of a general class of second order nonlinear differential equations in the sense of Hyers-Ulam-Rassias and Hyers-Ulam. In our proofs, we show that some of the common restrictions widely used in well-known papers concerned with similar problems on bounded intervals are unnecessary. Therefore, we obtain stability results for second order differential equations with few assumptions on bounded intervals.

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DOI: https://doi.org/10.22190/FUMI220606028A

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