Boundary value problem for r 2 d 2 f / d r 2 + f = f 3 (I): existence and uniqueness

Chie Bing Wang

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-9

Abstract:

We study the equation r 2 d 2 f / d r 2 + f = f 3 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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:536159

DOI: 10.1155/S0161171201003544

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