Optimization of boundary value problems for higher order differential inclusions and duality (Q2115323)
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scientific article; zbMATH DE number 7490502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimization of boundary value problems for higher order differential inclusions and duality |
scientific article; zbMATH DE number 7490502 |
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Optimization of boundary value problems for higher order differential inclusions and duality (English)
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15 March 2022
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A duality theory for boundary value problems for differential inclusions of higher orders is proposed by means of locally conjugate mappings in the form of Euler-Lagrange type inclusions and transversality conditions. Sufficient optimality conditions are derived, too. To illustrate the proposed approach, third-order semilinear boundary value problems and polyhedral fourth-order boundary value problems are considered, and extensions towards problems of any order are discussed.
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boundary value
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duality
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Euler-Lagrange
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higher order
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transversality
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polyhedral
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differential inclusions
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