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Hyers-Ulam stability of nonhomogeneous linear differential equations of second order. (English) Zbl 1181.34014
Summary: The aim of this paper is to prove the stability in the sense of Hyers-Ulam of the differential equation
\[ y''+p(x)y'+q(x)y+r(x)=0. \]
That is, if \(f\) is an approximate solution of thay equation then there exists an exact solution of this equation near to \(f\).

MSC:
34A30 Linear ordinary differential equations and systems
34D99 Stability theory for ordinary differential equations
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References:
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