Solvability of the Jump Problem on Non-smooth Arc
О разрешимости задачи о скачке на негладкой дуге

Boris Aleksandrovich Kats, Kazan Federal University, Svetlana Rafailovna Mironova, Anna Yurievna Pogodina, Kazan Federal University, Saratov State Technical University
2013 Izvestiya of Saratov University New Series Series Mathematics Mechanics Informatics  
Б. А. Кац и др. О разрешимости задачи о скачке на негладкой дуге of one initial boundary value problem for KdV equation on the semi-axis // Spectral and Evolution Problems : Proc. Исследуется разрешимость краевой задачи о скачке на негладкой дуге в случае, когда скачок имеет особенность на одном из концов этой дуги. Ключевые слова: негладкая дуга, интеграл типа Коши, задача о скачке. We study solvability of the jump problem on non-smooth arc for the case, where the jump has a singularity at one
more » ... singularity at one of end points of the arc. A boundary control problem for the hyperbolic system was considered. The control functions transferring the object described by this system from the given initial state to the final state were constructed using the Riemann method.
doi:10.18500/1816-9791-2013-13-1-2-49-51 fatcat:2lr7tiqiz5gvve42pkju5lsioi