Existence of nonnegative solutions to singular semi-positone problems (Q1862834)
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scientific article; zbMATH DE number 1885796
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of nonnegative solutions to singular semi-positone problems |
scientific article; zbMATH DE number 1885796 |
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Existence of nonnegative solutions to singular semi-positone problems (English)
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22 January 2004
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Sufficient conditions are given for the existence of nonnegative solutions to the boundary value problem \[ u''(t)= f(t, u(t), u'(t)),\quad 0< t< 1,\qquad u(0)= \sigma> 0,\quad u(1)=0, \] with \(f: (0,1)\times (0,+\infty)\times \mathbb{R}\to [0,+\infty)\). The problem may be singular at \(t= 0\), \(t= 1\), \(u= 0\).
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nonnegative solutions
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singular nonlinear boundary value problems
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0.9251158833503724
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0.909150779247284
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