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Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type |
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| Authors: | A. S. Berdyshev E. T. Karimov |
| Affiliation: | (1) Institute of Mathematics, Uzbek Academy of Sciences, 700125 Tashkent, Uzbekistan |
| Abstract: | In this work two non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type are considered. Unique solvability of these problems is proven. The uniqueness of the solution is proven by the method of energy integrals and the existence is proven by the method of integral equations. |
| Keywords: | Parabolic-hyperbolic type equations non-local problems energy integrals integral equations spectral parameter Greenfunction |
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