Positive solutions for a nonlinear system of fourth-order ordinary differential equations
| dc.contributor.author | Wang, Qiuyue | |
| dc.contributor.author | Yang, Lu | |
| dc.date.accessioned | 2021-09-28T20:55:14Z | |
| dc.date.available | 2021-09-28T20:55:14Z | |
| dc.date.issued | 2020-05-19 | |
| dc.description.abstract | In this article, we consider the existence of positive solutions for a nonlinear system of fourth-order ordinary differential equations. By constructing a single cone P in the product space C[0, 1] X C[0, 1] and applying fixed theorem in cones, we establish the existence of positive solutions for a system in which the nonlinear terms are both superlinear or sublinear. In addition, by the construction of the product cone K1 X K2 ⊂ C[0,1] X C[0, 1] along with the product formula of fixed point theory on a product cone, we investigate the existence of positive solutions involving nonlinear terms, one uniformly superlinear or sublinear, and the other locally uniformly sublinear or superlinear. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, Q., & Yang, L. (2020). Positive solutions for a nonlinear system of fourth-order ordinary differential equations. <i>Electronic Journal of Differential Equations, 2020</i>(45), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14552 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Positive solution | |
| dc.subject | Fixed Point Theory | |
| dc.subject | Ordinary differential equation | |
| dc.title | Positive solutions for a nonlinear system of fourth-order ordinary differential equations | |
| dc.type | Article |