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Study of a non-classical perturbation problem in one dimension - MaRDI portal

Study of a non-classical perturbation problem in one dimension (Q1376675)

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scientific article; zbMATH DE number 1107082
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Study of a non-classical perturbation problem in one dimension
scientific article; zbMATH DE number 1107082

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    Study of a non-classical perturbation problem in one dimension (English)
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    23 July 1998
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    For several problems such as \[ \varepsilon^2 (u^{(4)}-u'')-u''+u=f(x),\quad x\in(0,\pi), \qquad u''(0)=u'''(0)=0, \] the author indicates some functions \(f\) such that either solutions are unbounded or converge as \(\varepsilon\) goes to zero.
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    singular perturbation
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    boundary value problems
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    linear
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