Existence of solutions for nonlinear singular boundary value problems.(English)Zbl 0666.34017

Existence of solutions to the two-point boundary value problem $$(p(t)y')'=q(t)f(t,y,p(t)y'),$$ $$y(1)=0$$, $$\lim_{t\to 0+}p(t)y'(t)=0$$ 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.
Reviewer: L.E.Bobisud

MSC:

 34B15 Nonlinear boundary value problems for ordinary differential equations
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References:

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