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Representation of functions and sets with the use of singularly perturbed differential and operator-differential equations (Q1594097)

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scientific article; zbMATH DE number 1557431
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English
Representation of functions and sets with the use of singularly perturbed differential and operator-differential equations
scientific article; zbMATH DE number 1557431

    Statements

    Representation of functions and sets with the use of singularly perturbed differential and operator-differential equations (English)
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    28 January 2001
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    The authors consider the solution behavior for \[ (\varepsilon I+ D(t)) x'= A(t)x,\quad t\geq 0, \] with \(D(t)\geq 0\). Conditions are given on a solution to this equation to converge on some set to a nonzero solution to the limit equation \(D(t)x'= A(t)x\).
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    operator-differential equations
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    singular perturbations
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