ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

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The Exact Controllability Problem for the Second Order Linear Hyperbolic Equation

Автор(ы):

H. F. Guliyev

Baku State University,
23, Z.Khalilov str., AZ1148,
Baku, Azerbaijan

hkuliyev@rambler.ru

K. Sh. Jabbarova

Institute of Mathematics and Mechanics of NAS of Azerbaijan,
9, F.Agayev str.,
AZ1141, Baku, Azerbaijan

hkuliyev@rambler.ru

Аннотация:

We consider a problem of exact controllability in the processes described by the second order linear hyperbolic equation with boundary control. Using Hilbert uniqueness method [1], we introduce an auxiliary boundary value problem. By means of this problem it is shown that after certain threshold time moment the considered system is controllable. Unlike [2] we consider nonhomogeneous hyperbolic equation. Note that different approaches have been applied to the solution of such kind of problems in, for instance, [3, 4]

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