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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Hindawi Limited
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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doaj-ec09f7044c5340b5a737458afa799e572020-11-24T21:40:57ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chie Bing Wang |
| spellingShingle |
Chie Bing Wang Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Chie Bing Wang |
| author_sort |
Chie Bing Wang |
| title |
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_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_sort |
boundary value problem for r2d2f/dr2+f=f3 (i): existence and uniqueness |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2001-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/S0161171201003544 |
| work_keys_str_mv |
AT chiebingwang boundaryvalueproblemforr2d2fdr2ff3iexistenceanduniqueness |
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