The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics
We consider the well-posed characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The example of the analogue of Goursat problem for a particular syst...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2013-12-01
|
| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/34691/23042 |
| _version_ | 1818059933212475392 |
|---|---|
| author | Aleksandr Anatol'evich Andreev Juliya Olegovna Yakovleva |
| author_facet | Aleksandr Anatol'evich Andreev Juliya Olegovna Yakovleva |
| author_sort | Aleksandr Anatol'evich Andreev |
| collection | DOAJ |
| description | We consider the well-posed characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The example of the analogue of Goursat problem for a particular system of the hyperbolic differential equations of the third order is given. |
| first_indexed | 2024-12-10T13:24:23Z |
| format | Article |
| id | doaj.art-56656c0a5cc44690b379b2175c08a5f8 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:24:23Z |
| publishDate | 2013-12-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-56656c0a5cc44690b379b2175c08a5f82022-12-22T01:47:13ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-12-01171313610.14498/vsgtu118231204The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristicsAleksandr Anatol'evich Andreev0Juliya Olegovna Yakovleva1Samara State Technical UniversitySamara State Technical UniversityWe consider the well-posed characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The example of the analogue of Goursat problem for a particular system of the hyperbolic differential equations of the third order is given.https://journals.eco-vector.com/1991-8615/article/viewFile/34691/23042system of the general hyperbolic differential equationsnonmultiple characteristicscharacteristic problemhadamard's well-posedness |
| spellingShingle | Aleksandr Anatol'evich Andreev Juliya Olegovna Yakovleva The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki system of the general hyperbolic differential equations nonmultiple characteristics characteristic problem hadamard's well-posedness |
| title | The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics |
| title_full | The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics |
| title_fullStr | The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics |
| title_full_unstemmed | The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics |
| title_short | The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics |
| title_sort | characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics |
| topic | system of the general hyperbolic differential equations nonmultiple characteristics characteristic problem hadamard's well-posedness |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/34691/23042 |
| work_keys_str_mv | AT aleksandranatolevichandreev thecharacteristicproblemforthesystemofthegeneralhyperbolicdifferentialequationsofthethirdorderwithnonmultiplecharacteristics AT juliyaolegovnayakovleva thecharacteristicproblemforthesystemofthegeneralhyperbolicdifferentialequationsofthethirdorderwithnonmultiplecharacteristics AT aleksandranatolevichandreev characteristicproblemforthesystemofthegeneralhyperbolicdifferentialequationsofthethirdorderwithnonmultiplecharacteristics AT juliyaolegovnayakovleva characteristicproblemforthesystemofthegeneralhyperbolicdifferentialequationsofthethirdorderwithnonmultiplecharacteristics |