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On a contrast steplike structure for a class of second-order nonlinear singularly perturbed equations - MaRDI portal

On a contrast steplike structure for a class of second-order nonlinear singularly perturbed equations (Q1571173)

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scientific article; zbMATH DE number 1472915
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On a contrast steplike structure for a class of second-order nonlinear singularly perturbed equations
scientific article; zbMATH DE number 1472915

    Statements

    On a contrast steplike structure for a class of second-order nonlinear singularly perturbed equations (English)
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    16 May 2001
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    Here, a second-order differential equation is considered that is nonlinear in the first derivative and involves small factors at the first and second derivatives. A solution to this equation is examined that has a steplike interior transition layer. The asymptotics of such a solution is constructed, and its stability is analyzed.
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    boundary value problem
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    singular perturbed
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    contrast steplike structure
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    second order
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    solution
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    small parameter
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