Non-singular solutions of two-point problems, with multiple changes of sign in the nonlinearity (Q2796723)
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scientific article; zbMATH DE number 6560778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-singular solutions of two-point problems, with multiple changes of sign in the nonlinearity |
scientific article; zbMATH DE number 6560778 |
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Non-singular solutions of two-point problems, with multiple changes of sign in the nonlinearity (English)
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29 March 2016
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boundary value problem
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global solution curves
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non-singular positive solutions
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The author proves the non-singularity of positive solutions to a two-point boundary value problem, provided the nonlinearity \(f(u)\) is predominantly negative for \(u\in(0,\gamma]\), and superlinear for \(u>\gamma\). Moreover, the obtained results are compared with the well-known cases of parabola-like, or \(S\)-shaped solution curves.
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