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Asymptotic estimates of solutions and their derivatives for \(n\)-th order nonhomogeneous ordinary differential equations with constant coefficients - MaRDI portal

Asymptotic estimates of solutions and their derivatives for \(n\)-th order nonhomogeneous ordinary differential equations with constant coefficients (Q2785636)

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scientific article; zbMATH DE number 981774
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English
Asymptotic estimates of solutions and their derivatives for \(n\)-th order nonhomogeneous ordinary differential equations with constant coefficients
scientific article; zbMATH DE number 981774

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    25 February 1997
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    Esclangon's technique
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    asymptotic estimates
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    \(n\)-th order nonhomogeneous ordinary differential equations
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    Asymptotic estimates of solutions and their derivatives for \(n\)-th order nonhomogeneous ordinary differential equations with constant coefficients (English)
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    Asymptotic estimates of solutions and their derivatives for \(n\)-th order nonhomogeneous ordinary differential equations with constant coefficients are obtained, provided the associated characteristic polynomial is asymptotically stable. Under certain additional assumptions the estimates are improved.
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