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This article is cited in 4 scientific papers (total in 4 papers)
Short Communication
Differential Equations
Boundary Control Problem for the Telegraph Equation
E. A. Kozlova Samara State Technical University, Samara, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In the paper we consider the boundary control problem for the telegraph equation.
We study the case of the short period of control, when the initial and final data determine the solution
in two regions, having the common part. It means, the control problem has the solution only for the
special way related initial and final conditions. We give these relations for two intervals
of control time changing and construct solutions for two Cauchy problems in the regions bounded by
the characteristics of the equation. This construction allows to find data on
characteristics and to solve two Goursat problems. Finally, the substitution of necessary
values of spatial coordinate in the obtained expressions gives the required boundary control functions.
Keywords:
telegraph equation, boundary control, Riemann method.
Original article submitted 28/III/2012 revision submitted – 28/V/2012
Citation:
E. A. Kozlova, “Boundary Control Problem for the Telegraph Equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(27) (2012), 174–177
Linking options:
https://www.mathnet.ru/eng/vsgtu1092 https://www.mathnet.ru/eng/vsgtu/v127/p174
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