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.
Fulltext:
PDF file (110 kB)
The content is published under the terms of the Creative Commons Attribution 4.0 International License
