Opuscula Math. 32, no. 1 (2012), 67-74
Note on the stability of first order linear differential equations
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.
- Received: 2010-08-01.
- Revised: 2011-02-13.
- Accepted: 2011-02-16.