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Solutions with spikes for quasilinear boundary value problems - MaRDI portal

Solutions with spikes for quasilinear boundary value problems (Q1206939)

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scientific article; zbMATH DE number 150672
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Solutions with spikes for quasilinear boundary value problems
scientific article; zbMATH DE number 150672

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    Solutions with spikes for quasilinear boundary value problems (English)
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    1 April 1993
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    The author studies the spike layer solution for a quasilinear singular perturbation problem \(\varepsilon y''+f(x,y)y'+g(x,y)=0\), \(y(a)=A\), \(y(b)=B\). A necessary condition for the existence of a spike layer solution is derived, and sufficient conditions for spike layer behavior together with estimates on the width and height of the spikes are presented.
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    spike layer solution
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    quasilinear singular perturbation problem
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