Opuscula Math. 32, no. 1 (2012), 67-74

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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  • Florin Bojor
  • North University of Baia Mare, Faculty of Sciences, Department of Mathematics and Computer Sciences, Str. Victoriei, nr. 76, 430122 Baia Mare, Romania
  • Received: 2010-08-01.
  • Revised: 2011-02-13.
  • Accepted: 2011-02-16.
Opuscula Mathematica - cover

Cite this article as:
Florin Bojor, Note on the stability of first order linear differential equations, Opuscula Math. 32, no. 1 (2012), 67-74, http://dx.doi.org/10.7494/OpMath.2012.32.1.67

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