Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications (Q2839385)

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scientific article; zbMATH DE number 6184597
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Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications
scientific article; zbMATH DE number 6184597

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    Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications (English)
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    5 July 2013
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    global bifurcation
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    exact multiplicity
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    positive solution
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    positone problem
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    S-shaped bifurcation curve
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    time map
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    The authors investigate the global bifurcation and exact multiplicity of positive solutions for a second-order differential equation. The main tool is a new time-map technique. Then, the exact number of positive solutions is determined by two parameters. An example is presented to illustrate the main result.
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