Opuscula Math. 32, no. 1 (2012), 67-74
http://dx.doi.org/10.7494/OpMath.2012.32.1.67

Opuscula Mathematica

Note on the stability of first order linear differential equations

Florin Bojor

Abstract. In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equation of the form $$y'(x)+f(x)y(x)+g(x)=0$$ under some additional conditions.

Keywords: fixed point method, differential equation, Hyers-Ulam stability.

Mathematics Subject Classification: 26D10, 47J99, 47N20, 34A40, 47E05, 47H10.

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