M. V. Plekhanova, A. F. Islamova, “A problem with mixed control for a class of linear Sobolev type equations”, Vestnik Chelyabinsk. Gos. Univ., 2010, Issue 12,Pages <nobr>49

Differential equations

A problem with mixed control for a class of linear Sobolev type equations

M. V. Plekhanova^a, A. F. Islamova^b

^a South Ural State University, Chelyabinsk
^b Chelyabinsk State University

Abstract: A problem with mixed control for distributed systems not solvable with respect to the time derivative is researched. The quality functional in the problem is weak with respect to the state function. Abstract results are illustrated on the example of the control problem for phase field equations.

Keywords: optimal control, distributed system, Sobolev type equation.