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Submersivity of a solution of the equation \(z^{(n)}(t)+p_1(t)z^{(n-1)}(t)+\dots+p_n(t)z(t)=\alpha\cdot q(t)\) - MaRDI portal

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Submersivity of a solution of the equation \(z^{(n)}(t)+p_1(t)z^{(n-1)}(t)+\dots+p_n(t)z(t)=\alpha\cdot q(t)\) (Q2714754)

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scientific article; zbMATH DE number 1607265
Language Label Description Also known as
English
Submersivity of a solution of the equation \(z^{(n)}(t)+p_1(t)z^{(n-1)}(t)+\dots+p_n(t)z(t)=\alpha\cdot q(t)\)
scientific article; zbMATH DE number 1607265

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    2 July 2001
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    linear nonhomogeneous equations
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    submersivity of solution
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    Submersivity of a solution of the equation \(z^{(n)}(t)+p_1(t)z^{(n-1)}(t)+\dots+p_n(t)z(t)=\alpha\cdot q(t)\) (English)
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    The so-called ``submersivity'' of solutions to linear nonhomogeneous equations is studied, and by this submersivity certain properties of solutions are deduced.NEWLINENEWLINENEWLINEOne can describe the submersivity verbally as the ability of the solution not to exceed a certain level \(\varepsilon\) for a certain time interval \([t_0, t_0+\delta]\).
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