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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2012 Issue 1(26), Pages 243–247 (Mi vsgtu1046)

This article is cited in 3 papers

Short Communication
Differential Equations

Control problem for the hyperbolic equation with the characteristics having the angular coefficients of the same sign

E. A. Kozlova

Samara State Technical University, Samara, Russia

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.

Keywords: hyperbolic equation, boundary control, Cauchy problem.

UDC: 517.956.3

MSC: Primary 35L51; Secondary 93C20, 35B37

Original article submitted 19/XII/2011
revision submitted – 19/II/2012

DOI: 10.14498/vsgtu1046



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