On one problem in an infinity half-strip for biaxisimmetric Helmholtz equation
Boundary value problem in an infinity half-strip for biaxisymmetric Helmholtz equation is explored. Existence conditions of this problem are gotten with help of Fourier-Bessel series expansion. Uniqueness of solution of this boundary value problem is proved for some parameters values. Lack of uniquen...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2012-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20894/17153 |
| _version_ | 1811330234720452608 |
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| author | Anton A Abashkin |
| author_facet | Anton A Abashkin |
| author_sort | Anton A Abashkin |
| collection | DOAJ |
| description | Boundary value problem in an infinity half-strip for biaxisymmetric Helmholtz equation is explored. Existence conditions of this problem are gotten with help of Fourier-Bessel series expansion. Uniqueness of solution of this boundary value problem is proved for some parameters values. Lack of uniqueness of solution is proved for some other parameters values. |
| first_indexed | 2024-04-13T15:57:48Z |
| format | Article |
| id | doaj.art-d5f86a4532a24ea9a566e0fcc263b991 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-04-13T15:57:48Z |
| publishDate | 2012-03-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-d5f86a4532a24ea9a566e0fcc263b9912022-12-22T02:40:37ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-03-01161394518311On one problem in an infinity half-strip for biaxisimmetric Helmholtz equationAnton A Abashkin0Samara State University of Architecture and Civil EngineeringBoundary value problem in an infinity half-strip for biaxisymmetric Helmholtz equation is explored. Existence conditions of this problem are gotten with help of Fourier-Bessel series expansion. Uniqueness of solution of this boundary value problem is proved for some parameters values. Lack of uniqueness of solution is proved for some other parameters values.https://journals.eco-vector.com/1991-8615/article/viewFile/20894/17153helmholtz equationboundary value problemfourier-bessel seriesbessel functionsmaximum principle |
| spellingShingle | Anton A Abashkin On one problem in an infinity half-strip for biaxisimmetric Helmholtz equation Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki helmholtz equation boundary value problem fourier-bessel series bessel functions maximum principle |
| title | On one problem in an infinity half-strip for biaxisimmetric Helmholtz equation |
| title_full | On one problem in an infinity half-strip for biaxisimmetric Helmholtz equation |
| title_fullStr | On one problem in an infinity half-strip for biaxisimmetric Helmholtz equation |
| title_full_unstemmed | On one problem in an infinity half-strip for biaxisimmetric Helmholtz equation |
| title_short | On one problem in an infinity half-strip for biaxisimmetric Helmholtz equation |
| title_sort | on one problem in an infinity half strip for biaxisimmetric helmholtz equation |
| topic | helmholtz equation boundary value problem fourier-bessel series bessel functions maximum principle |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20894/17153 |
| work_keys_str_mv | AT antonaabashkin ononeprobleminaninfinityhalfstripforbiaxisimmetrichelmholtzequation |