Two-point boundary value problems for a class of second-order ordinary differential equations (Q417270)
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scientific article; zbMATH DE number 6034292
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-point boundary value problems for a class of second-order ordinary differential equations |
scientific article; zbMATH DE number 6034292 |
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Two-point boundary value problems for a class of second-order ordinary differential equations (English)
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14 May 2012
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Summary: We study the general semilinear second-order ODE \[ u'' + g(t, u, u') = 0 \] under different two-point boundary conditions. Using the method of upper and lower solutions, we obtain an existence result. Moreover, under a growth condition on \(g\), we prove that the set of solutions of \[ u'' + g(t, u, u') = 0 \] is homeomorphic to the two-dimensional real space.
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lower and upper solutions
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