We deal with an optimal control problem governed by a pseudoparabolic variational inequality with controls in coefficients and in convex sets of admissible states. The existence theorem for an optimal control parameter will be proved. We apply the theory to the original design problem for a deffection of a viscoelastic plate with an obstacle, where the variable thickness of the plate appears as a control variable.
@article{104492, author = {Igor Bock and J\'an Lov\'\i \v sek}, title = {An optimal control problem for a pseudoparabolic variational inequality}, journal = {Applications of Mathematics}, volume = {37}, year = {1992}, pages = {62-80}, zbl = {0772.49008}, mrnumber = {1152158}, language = {en}, url = {http://dml.mathdoc.fr/item/104492} }
Bock, Igor; Lovíšek, Ján. An optimal control problem for a pseudoparabolic variational inequality. Applications of Mathematics, Tome 37 (1992) pp. 62-80. http://gdmltest.u-ga.fr/item/104492/
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