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Zbl 0666.34017
Bobisud, L.E.
Existence of solutions for nonlinear singular boundary value problems.
(English)
[J] Appl. Anal. 35, No.1-4, 43-57 (1990). ISSN 0003-6811; ISSN 1563-504X/e

Existence of solutions to the two-point boundary value problem $(p(t)y')'=q(t)f(t,y,p(t)y'),$ $y(1)=0$, $\lim\sb{t\to 0+}p(t)y'(t)=0$ 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 investigated.
[L.E.Bobisud]
MSC 2000:
*34B15 Nonlinear boundary value problems of ODE

Keywords: two-point boundary value problem; Dirichlet problem

Cited in: Zbl 0761.39002

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