Optimality conditions for systems driven by nonlinear evolution equations (Q1287220)

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scientific article; zbMATH DE number 1282732
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Optimality conditions for systems driven by nonlinear evolution equations
scientific article; zbMATH DE number 1282732

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    Optimality conditions for systems driven by nonlinear evolution equations (English)
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    4 August 1999
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    Summary: Using the Dubovitskij-Milyutin theory, we derive necessary and sufficient conditions for optimality for a class of Lagrange optimal control problems monitored by a nonlinear evolution equation and involving initial and/or terminal constraints. An example of a parabolic control system is also included.
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    evolution triple
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    Euler equation
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    adjoint equation
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    minimum principle
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    Dubovitskij-Milyutin theory
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    conditions for optimality
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    Lagrange optimal control problems
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    nonlinear evolution equation
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