On the existence of solution of a two-point boundary value problem in a cylindrical floating zone
Existence of one solution for a two-point boundary value problem with a positive parameter Q arising in the study of surface-tension-induced flows of a liquid metal or semiconductor is studied. On the basis of the upper-lower solution method and Schauder's fixed point theorem, it is proved that...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201003192 |
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| _version_ | 1832554713586860032 |
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| author | Shi Yongdong Du Liangsheng |
| author_facet | Shi Yongdong Du Liangsheng |
| author_sort | Shi Yongdong |
| collection | DOAJ |
| description | Existence of one solution for a two-point boundary value problem
with a positive parameter Q arising in the study of
surface-tension-induced flows of a liquid metal or semiconductor
is studied. On the basis of the upper-lower solution method and
Schauder's fixed point theorem, it is proved that the problem
admits a solution when 0≤Q≤12.683. This improves a recent result where 0≤Q<1. |
| format | Article |
| id | doaj-art-7d58454cb2f748c5949e629294a9f137 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7d58454cb2f748c5949e629294a9f1372025-02-03T05:50:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01251066967710.1155/S0161171201003192On the existence of solution of a two-point boundary value problem in a cylindrical floating zoneShi Yongdong0Du Liangsheng1Research Centre of Financial Engineering, Department of Finance, Dongbei University of Finance and Economics, Box 74, Dalian 116025, ChinaDepartment of Economics, Dongbei University of Finance and Economics, Box 74, Dalian 116025, ChinaExistence of one solution for a two-point boundary value problem with a positive parameter Q arising in the study of surface-tension-induced flows of a liquid metal or semiconductor is studied. On the basis of the upper-lower solution method and Schauder's fixed point theorem, it is proved that the problem admits a solution when 0≤Q≤12.683. This improves a recent result where 0≤Q<1.http://dx.doi.org/10.1155/S0161171201003192 |
| spellingShingle | Shi Yongdong Du Liangsheng On the existence of solution of a two-point boundary value problem in a cylindrical floating zone International Journal of Mathematics and Mathematical Sciences |
| title | On the existence of solution of a two-point boundary value problem in a cylindrical floating zone |
| title_full | On the existence of solution of a two-point boundary value problem in a cylindrical floating zone |
| title_fullStr | On the existence of solution of a two-point boundary value problem in a cylindrical floating zone |
| title_full_unstemmed | On the existence of solution of a two-point boundary value problem in a cylindrical floating zone |
| title_short | On the existence of solution of a two-point boundary value problem in a cylindrical floating zone |
| title_sort | on the existence of solution of a two point boundary value problem in a cylindrical floating zone |
| url | http://dx.doi.org/10.1155/S0161171201003192 |
| work_keys_str_mv | AT shiyongdong ontheexistenceofsolutionofatwopointboundaryvalueprobleminacylindricalfloatingzone AT duliangsheng ontheexistenceofsolutionofatwopointboundaryvalueprobleminacylindricalfloatingzone |