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SEMINARS |
Scientific seminar on the differential and functional differential equations
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On damping a control system of arbitrary order with global aftereffect on a tree S. A. Buterin Saratov State University |
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Abstract: 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 |