Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleProblem of impulsive regulator for one dynamical system of the Sobolev type.AuthorsVlasenko, L.; Rutkas, A.; Samoilenko, A.AbstractWe establish conditions for the existence of an optimal impulsive control for an implicit operator differential equation with quadratic cost functional. The results obtained are applied to the filtration problem.SubjectsSOBOLEV spaces; DYNAMICS; NUMBER theory; BESSEL functions; REGULATORS (Mathematics)PublicationUkrainian Mathematical Journal, 2008, Vol 60, Issue 8, p1200ISSN0041-5995Publication typeArticleDOI10.1007/s11253-009-0135-y