Multiplicity results of positive solutions for fourth‐order nonlinear differential equation with singularity |
| |
| Authors: | Zhibo Cheng Jingli Ren |
| |
| Affiliation: | 1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China;2. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China |
| |
| Abstract: | By application of Green's function and some fixed‐point theorems, that is, Leray–Schauder alternative principle and Schauder's fixed‐point theorem, we establish two new existence results of positive periodic solutions for nonlinear fourth‐order singular differential equation, which extend and improve significantly existing results in the literature. Copyright © 2015 John Wiley & Sons, Ltd. |
| |
| Keywords: | fourth‐order differential equation Green's function singularity Leray– Schauder alternative principle Schauder's fixed– point theorem |
|
|
