Solution of a boundary problem for systems of ordinary differential equations (Q1901827)
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scientific article; zbMATH DE number 815581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution of a boundary problem for systems of ordinary differential equations |
scientific article; zbMATH DE number 815581 |
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Solution of a boundary problem for systems of ordinary differential equations (English)
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14 November 1995
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A theorem is given to guarantee the existence of a piecewise continuous control \(u(t)\) in order to obtain a solution to the boundary value problem \[ \begin{cases} \dot x = f(t, x, u),\\ x_i(0)= 0,\;x_j(1)= x^j_k,\;i= 1,\dots, n,\;j= 1,\dots, r,\end{cases} \] where \(r\leq n\).
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piecewise continuous control
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boundary value problem
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