Two-point problem for higher order systems (Q5927564)
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scientific article; zbMATH DE number 1579946
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-point problem for higher order systems |
scientific article; zbMATH DE number 1579946 |
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Two-point problem for higher order systems (English)
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13 November 2001
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two-point problem
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higher-order systems
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0.93197674
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0.90018547
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0.89881074
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The authors prove an existence theorem on the two-point boundary value problem for the following system NEWLINE\[NEWLINEu^{(m)}(t)= f\bigl(t,u(t), \dots, u^{(m-1)} (t)\bigr)+ \sum^{m-1}_{k=0} t^k \lambda_k,\;t\in[a,b],NEWLINE\]NEWLINE NEWLINE\[NEWLINEu^{(k)} (a)= u^{(k)} (b)=0,\quad k=0,\dots, m-1,NEWLINE\]NEWLINE with \(f:[a,b] \times\mathbb{R}^{nm}\to\mathbb{R}^n\) and \(\lambda_0, \dots,\lambda_{m-1}\) are suitable vectors of \(\mathbb{R}^n\).
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