Abstract:
The boundary control problem for the hyperbolic equation is considered for the case, when
the angular coefficients of characteristics have the same sign. The control functions are constructed in an explicit form.
The conditions of controllability are found for different periods of control.
Citation:
E. A. Kozlova, “Control problem for the hyperbolic equation with the characteristics having the angular coefficients of the same sign”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 243–247
\Bibitem{Koz12}
\by E.~A.~Kozlova
\paper Control problem for the hyperbolic equation with the characteristics having the angular coefficients of the same sign
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 1(26)
\pages 243--247
\mathnet{http://mi.mathnet.ru/vsgtu1046}
\crossref{https://doi.org/10.14498/vsgtu1046}
Linking options:
https://www.mathnet.ru/eng/vsgtu1046
https://www.mathnet.ru/eng/vsgtu/v126/p243
This publication is cited in the following 2 articles:
A. A. Andreev, E. A. Kozlova, S. V. Leksina, “Granichnoe upravlenie protsessami, opisyvaemymi sistemami giperbolicheskikh uravnenii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 24–30
E. A. Kozlova, “Zadacha o polnom uspokoenii dlya odnogo klassa sistem giperbolicheskikh uravnenii vtorogo poryadka”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 3(28) (2012), 47–52