Second order optimality conditions for a class of control problems governed by non-linear integral equations with application to parabolic boundary control

Second order optimality conditions for a class of control problems governed by non-linear integral equations with application to parabolic boundary control

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Article ID: iaor19891012
Country: Germany
Volume: 20
Start Page Number: 687
End Page Number: 698
Publication Date: Sep 1989
Journal: Optimization
Authors: ,
Abstract:

In the paper necessary and sufficient second order optimality conditions for optimal control problems governed by weakly singular non-linear Hammerstein integral equations are derived. They are applied to a semilinear parabolic boundary control problem for the one dimensional heat equation.

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