| Article ID: | iaor20111394 |
| Volume: | 148 |
| Issue: | 1 |
| Start Page Number: | 146 |
| End Page Number: | 163 |
| Publication Date: | Jan 2011 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Zvyagin G, Turbin V |
| Keywords: | topology |
We consider the feedback control problem in the model of motion of low concentrated aqueous polymer solutions. We demonstrate the solvability of an approximating problem, using some a priori estimates and the topological degree theory. Then the convergence (in some generalized sense) of solutions of approximating problems to a solution of the given problem is proved. Moreover, we show the existence of a solution minimizing a given convex, lower semicontinuous functional.