Nonlinear Versions of Hyperbolic Problems for One Quasi-Linear Equation of Mixed Type
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2471-9 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2471-9 | ||
| 100 | 1 | |a Baghaturia |D G. |u N. Muskhelishvili Institute of Computational Mathematics, Georgian Technical University, Tbilisi, Georgia |4 aut | |
| 245 | 1 | 0 | |a Nonlinear Versions of Hyperbolic Problems for One Quasi-Linear Equation of Mixed Type |h [Elektronische Daten] |c [G. Baghaturia] |
| 520 | 3 | |a The Cauchy and Goursat problems for a quasi-linear second-order hyperbolic equation with admissible order and type degeneracy are considered. The conditions for nonexistence of a solution of the Cauchy problem are established. However, in conditions of the existence, the solution of the problem is constructed explicitly. In addition, nonlinear versions of the Goursat problem are examined and solutions of these problems are constructed in the explicit form. For the Cauchy problem, as well as for both of the characteristic problems, the structure of the domain of definition of the solution is described. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/6(2015-08-01), 621-634 |x 1072-3374 |q 208:6<621 |1 2015 |2 208 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2471-9 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2471-9 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Baghaturia |D G. |u N. Muskhelishvili Institute of Computational Mathematics, Georgian Technical University, Tbilisi, Georgia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/6(2015-08-01), 621-634 |x 1072-3374 |q 208:6<621 |1 2015 |2 208 |o 10958 | ||