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Singular Sturm-Liouville problems and existence of solutions to singular nonlinear boundary value problems. (English) Zbl 0780.34017
From the introduction: “This paper establishes existence results for second order boundary value problems of the form $$p^{-1}(t) (p(t) y'(t))'= q(t)(f(t,y(t),p(t) y'(t))$$, $$0<t<1$$, $$y(1)=\lim_{t\to+0} p(t) y'(t)=0$$, where $$f: [0,1]\times \mathbb{R}^ 2\to\mathbb{R}$$ is continuous, $$q\in C(0,1)$$, $$p\in C[0,1]\cap C^ 1(0,1]$$ with $$p>0$$ on $$(0,1]$$, $$p(0)=0$$ and $$\int^ 1_ 0 p^{-1}(s)ds=\infty$$”.

##### MSC:
 34B24 Sturm-Liouville theory 34B15 Nonlinear boundary value problems for ordinary differential equations
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##### References:
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