DOI: 10.12732/ijam.v37i1.9
ON THE CONTROL PROBLEM
ASSOCIATED WITH A
PSEUDO-PARABOLIC TYPE
EQUATION IN AN
ONE-DIMENSIONAL DOMAIN
Farrukh N. Dekhkonov
Department of Mathematics
Namangan State University
Uychi Street 316, Namangan, UZBEKISTAN
Abstract. In previous works, the control problem for the initial-boundary value problem in the interval for such a pseudo-parabolic type equation was studied. That is, the Dirichlet boundary value problem was considered. In this work we consider control problem for a homogeneous pseudo-parabolic type equation. In the part of the bound of the given region it is given value of the derivative of the solution with the respect to the normal and it is required to find control
to get the average value of solution. By the Laplace transform method it is proved that like this control exists.
How
to cite this paper?
DOI: 10.12732/ijam.v37i1.9
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 1
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