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arxiv: 1307.3287 · v2 · pith:CPLWMKCOnew · submitted 2013-07-11 · 🧮 math.CA

Hyers-Ulam stability of certain singular linear differential equations

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keywords differentiallinearequationssingularcertainfirst-orderhyers-ulamresults
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We establish the Hyers-Ulam stability of certain linear first-order differential equations with singularities. We then extend these results to higher-order singular linear differential equations that can be written with these first-order factors. An example of our results is given for a second-order singular linear differential equation that is not be covered by the current literature in this area.

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