Two-point boundary value problems for a first-order implicit differential equation (Q2720028)
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scientific article; zbMATH DE number 1610523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-point boundary value problems for a first-order implicit differential equation |
scientific article; zbMATH DE number 1610523 |
Statements
28 October 2002
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first-order implicit differential equation
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upper and lower solutions
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monotone iterative technique
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Two-point boundary value problems for a first-order implicit differential equation (English)
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The authors deal with a two-point boundary value problem for the first-order implicit differential equation NEWLINE\[NEWLINEu'(t)= f(t,u(t),u'(t)), \quad T u(0)=\lambda u(T)+\mu,NEWLINE\]NEWLINE so, that when \(\lambda =0\) we have a Cauchy problem and for \(\lambda =1\) and \(\mu =0\), we have a periodic problem. Assuming the existence of a lower and an upper solution, the authors prove the existence of a solution using a monotone iterative technique.
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