# zbMATH — the first resource for mathematics

Positive solutions to singular second-order boundary value problems. (Chinese. English summary) Zbl 1027.34025
Summary: The author studies the nonlinear boundary value problem $u''+ a(t) f(u)= 0,\quad\alpha u(0)-\beta u'(0)= 0,\quad\gamma u(1)+\delta u'(1)= 0,$ where $$a$$ is allowed to be singular at both end points $$t= 0$$ and $$t=1$$ and $$f$$ is either superlinear or sublinear. We show the existence of at least one positive solution to this problem.

##### MSC:
 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B16 Singular nonlinear boundary value problems for ordinary differential equations