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Hyers-Ulam stability of nonhomogeneous linear differential equations of second order - MaRDI portal

Hyers-Ulam stability of nonhomogeneous linear differential equations of second order (Q1035164)

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scientific article; zbMATH DE number 5627895
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Hyers-Ulam stability of nonhomogeneous linear differential equations of second order
scientific article; zbMATH DE number 5627895

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    Hyers-Ulam stability of nonhomogeneous linear differential equations of second order (English)
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    10 November 2009
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    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 \(f\).
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