## Nonnegative solutions to some singular second-order boundary value problems.(English)Zbl 0929.34022

Using the topological transversality technique, sufficient conditions are given for the existence of nonnegative solutions to the boundary value problems $x''= f(t,x,x'),\;x(0)=a,\;x'(1)= b,\;a\geq 0,\;b\geq 0,$ and $x''= f(t,x,x'),\;x'(0)= a,\;x(1)=b,\;a\leq 0,\;b\geq 0.$ The singularities are allowed at $$x=0$$ or at $$x'=0$$.
Reviewer: J.Andres (Olomouc)

### MSC:

 34B16 Singular nonlinear boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations
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### References:

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