ON THE CONTINUOUS DEPENDENCE OF SOLUTIONS OF THE BOUNDARY-VALUE PROBLEM FOR A HYPERBOLIC EQUATION WITH DIFFERENT BOUNDARY CONDITIONS ON DIFFERENT PARTS OF THE BOUNDARY ON THE POSITION OF THE INITIAL CONDITION HYPERPLANE |
| 5 | |
| 2013 |
| scientific article | 517.95:517.97 | ||
| 195-203 | partial differential equations, initial-boundary value problems, Radon measures, continuous dependence of solutions. |
| The article proves the continuous dependence of solutions of the initial–boundary value problem for a linear hyperbolic equation in the divergence form on the position of the initial condition hyperplane. Besides, the result is proved on the integral representation of the solution of the hyperbolic equation in the divergence form with a Radon measure on the right-hand side. |
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