| Volume 7, Number 2, 2017, Pages 455-477 DOI：10.11948/2017029 |
| Multiplicity results of fourth-order singular nonlinear differential equation with a parameter |
| Yun Xin,Xuefeng Han,Zhibo Cheng |
| Keywords:Fourth-order, superlinear and sublinear, singular, Krasnoselskii fixed point theorem, periodic solution. |
| Abstract: |
| In this paper, we investigate a class of fourth-order singular nonlinear differential equation with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. By applications of Green's function and the Krasnoselskii fixed point theorem, sufficient conditions for the existence of positive periodic solutions are established. |
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