Optimization of a solution to a boundary value problem for a symmetric system with the help of boundary conditions (Q2760620)
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scientific article; zbMATH DE number 1682186
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimization of a solution to a boundary value problem for a symmetric system with the help of boundary conditions |
scientific article; zbMATH DE number 1682186 |
Statements
13 December 2001
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mixed-type differential equations of first order
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a priori estimates
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boundary value problem
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direct problem
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conjugate problem
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optimal control problem
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symmetric system
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existence
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uniqueness
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differentiability
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functional gradient
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Optimization of a solution to a boundary value problem for a symmetric system with the help of boundary conditions (English)
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A method is proposed for solving an optimal control problem for a symmetric system of two mixed-type differential equations of first order. For direct and conjugate problems, a priori estimates are obtained which provide the existence and uniqueness of solution, as well as the differentiability of the corresponding functional and an explicit expression for its gradient.
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0.7835919857025146
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0.777248203754425
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