Positive solutions of a nonlinear ordinary differential equation (Q1847679)
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scientific article; zbMATH DE number 1836182
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions of a nonlinear ordinary differential equation |
scientific article; zbMATH DE number 1836182 |
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Positive solutions of a nonlinear ordinary differential equation (English)
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27 November 2002
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The authors consider the nonlinear boundary value problem \[ v''(x)-\varepsilon v^{-q}(x)= 0,\quad 0< x< 1,\quad v'(1)= v^p(1), \] where \(0< p\), \(q<\infty\) and \(\varepsilon\) is a positive parameter. They investigate a relationship between the number of positive solutions and the parameters \(p\), \(q\) and \(\varepsilon\).
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ordinary differential equation
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nonlinear boundary value condition
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positive solution
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multiplicity
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