A fundamentally simple approach to a singular boundary value problem (Q943756)
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scientific article; zbMATH DE number 5324054
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fundamentally simple approach to a singular boundary value problem |
scientific article; zbMATH DE number 5324054 |
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A fundamentally simple approach to a singular boundary value problem (English)
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10 September 2008
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The authors consider the boundary value problem \[ x'''(t)=a(t)f(t,x(t),x'(t),x''(t)),\quad 0<t<1, \] \[ x(0)=x'(\eta)=x''(1)=0. \] The existence of a solution is proved under appropriate conditions. Furthermore, the obtained solution is positive and concave on \((0,1)\).
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three point singular boundary value problem
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third order differential equation
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positive solution
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vector field
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Sperner's Lemma
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