Hyers-Ulam stability of the first-order matrix differential equations (Q901658)

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scientific article; zbMATH DE number 6529023
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Hyers-Ulam stability of the first-order matrix differential equations
scientific article; zbMATH DE number 6529023

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    Hyers-Ulam stability of the first-order matrix differential equations (English)
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    12 January 2016
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    Summary: We prove the generalized Hyers-Ulam stability for first-order linear homogeneous matrix differential equations \(\vec y'(t)=A(t)\vec y(t)\). Moreover, we apply this result to prove the generalized Hyers-Ulam stability for \(n\)th order linear differential equations with variable coefficients.
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