This note gives a simple proof of uniqueness for positive solutions of certain non-linear boundary value problems on R+ which are typified by the equation —u”(x) = -u(x) + r(x)u(x)1+σwith boundary conditions u'(0) = u(+∞) - 0. In the autonomous case (r≡l), this is easy to see, by quadrature. The proof here supposes r to be non-increasing on R+.
|Number of pages||5|
|Journal||Proceedings of the Royal Society of Edinburgh: Section A Mathematics|
|Publication status||Published - 1 Jan 1984|
ASJC Scopus subject areas