Existence of solutions for nonlinear singular boundary value problems
- 1 January 1990
- journal article
- research article
- Published by Informa UK Limited in Applicable Analysis
- Vol. 35 (1-4), 43-57
- https://doi.org/10.1080/00036819008839903
Abstract
Existence of solutions to the two-point boundary value problem (p(t)y')' = q(t)f(t, y,p(t)y'), y(l) = 0, limt→0+ p(t)y'(t) = 0 is established under a variety of conditions. Here p(0) = 0 is allowed, and q is not assumed to be continuous at 0, so the problem may be doubly singular. In addition, the Dirichlet problem for this differential equation is investigatedKeywords
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