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Multiplicity results of fourth-order singular nonlinear differential equation with a parameter |
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| Authors: | Yun Xin Xuefeng Han and Zhibo Cheng |
| Institution: | College of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454000, China,School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China and School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China; Department of Mathematics, Si Chuan University, Cheng Du, 610064, China |
| 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. |
| Keywords: | Fourth-order superlinear and sublinear singular Krasnoselskii fixed point theorem periodic solution |
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