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Approximate perfect differential equations of second order. (English) Zbl 1380.34083

Summary: In this paper we prove the Hyers-Ulam stability of the perfect linear differential equation \(f (t)y''(t) + f_1 (t)y' (t) + f_ 2 (t)y(t) = Q(t)\), where \(f\), \(y \in C ^2 [a, b]\), \(Q \in C[a, b]\), \(f_2 (t) = f'_1 (t) - f''(t)\) and \(-\infty < a < b < +\infty\).

MSC:

34D10 Perturbations of ordinary differential equations
34A30 Linear ordinary differential equations and systems
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