Two-point boundary value problem for first order implicit differential equations (Q1572922)
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scientific article; zbMATH DE number 1484783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-point boundary value problem for first order implicit differential equations |
scientific article; zbMATH DE number 1484783 |
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Two-point boundary value problem for first order implicit differential equations (English)
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22 February 2002
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Consider the two-point boundary value problem \((*) \;u' (t)=f(t,u,u'), \;u(0)=\lambda u(T)+ \mu\), where \(\lambda \geq 0\) and \(\mu\) are given real numbers, \(f\) is assumed to be a Carathéodory function. The authors derive conditions on \(f\) such that the existence of ordered upper and lower solutions to \((*)\) implies the existence of monotone sequences converging uniformly to the extremal solutions to \((*)\).
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nonlinear boundary value problem
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implicit equation
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upper and lower solutions
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monotone convergence
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0.9067651033401488
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