Seminar “On damping a control system of arbitrary order with global aftereffect on a tree”
On 28 November at 12:00 p.m. (Moscow time)
A scientific seminar on the differential and functional differential equation “On damping a control system of arbitrary order with global aftereffect on a tree” will be held at RUDN University.
Speaker: Sergey Buterin, Ph.D, Associate Professor of the Department of Mathematical Physics and Computational Mathematics of Saratov State University named after N.G. Chernyshevsky (Russia).
We study a problem of damping a control system described by functional-differential equations of natural order n and neutral type with non-smooth complex coefficients on an arbitrary tree with global delay. The latter means that the delay propagates through internal vertices of the tree. Minimization of the energy functional of the system leads to a variational problem. We establish its equivalence to a certain self-adjoint boundary value problem on a tree for equations of order 2n with non-local quasi-derivatives and multidirectional shifts of the argument, as well as Kirchhoff-type conditions emerging at the internal vertices. The unique solvability of both problems is proved.