Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness
We study the equation r2d2f/dr2+f=f3 with the boundary conditions f(1)=0, f(∞)=1, and f(r)>0 for 1<r<∞. The existence of the solution is proved using a topological shooting argument. And the uniqueness is proved by a variation method.
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201003544 |
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| _version_ | 1832555367214612480 |
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| author | Chie Bing Wang |
| author_facet | Chie Bing Wang |
| author_sort | Chie Bing Wang |
| collection | DOAJ |
| description | We study the equation r2d2f/dr2+f=f3 with the boundary conditions f(1)=0, f(∞)=1, and f(r)>0 for 1<r<∞. The existence of the solution is proved using a topological shooting argument. And the uniqueness is proved by a variation method. |
| format | Article |
| id | doaj-art-ec09f7044c5340b5a737458afa799e57 |
| 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-ec09f7044c5340b5a737458afa799e572025-02-03T05:48:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01261060561310.1155/S0161171201003544Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniquenessChie Bing Wang0Department of Mathematics, University of Pittsburgh, Pittsburgh 15260, PA, USAWe study the equation r2d2f/dr2+f=f3 with the boundary conditions f(1)=0, f(∞)=1, and f(r)>0 for 1<r<∞. The existence of the solution is proved using a topological shooting argument. And the uniqueness is proved by a variation method.http://dx.doi.org/10.1155/S0161171201003544 |
| spellingShingle | Chie Bing Wang Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness International Journal of Mathematics and Mathematical Sciences |
| title | Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness |
| title_full | Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness |
| title_fullStr | Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness |
| title_full_unstemmed | Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness |
| title_short | Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness |
| title_sort | boundary value problem for r2d2f dr2 f f3 i existence and uniqueness |
| url | http://dx.doi.org/10.1155/S0161171201003544 |
| work_keys_str_mv | AT chiebingwang boundaryvalueproblemforr2d2fdr2ff3iexistenceanduniqueness |