Positive solutions of some singular \(m\)-point boundary value problems at non-resonance (Q814736)
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scientific article; zbMATH DE number 5004367
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions of some singular \(m\)-point boundary value problems at non-resonance |
scientific article; zbMATH DE number 5004367 |
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Positive solutions of some singular \(m\)-point boundary value problems at non-resonance (English)
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7 February 2006
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The authors study the existence of positive solutions for a second-order singular \(m\)-point boundary value problem at nonresonance where the nonlinearity \(f(t,x)\) may be singular at \(x,t=0\) and/or \(t=1.\) By constructing lower and upper solutions, they give a necessary and sufficient condition for the existence of \(C[0,1]\) as well as \(C^1[0,1]\) positive solutions.
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Singular \(m\)-point boundary value problem
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Positive solution
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Lower and upper solution
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Maximum principle
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Nonresonance
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0.9676242
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0.9586458
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0.9513863
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0.94947577
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0.9433874
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0.94147384
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0.9411851
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