Existence and multiplicity of positive periodic solutions for fourth-order nonlinear differential equations
| dc.contributor.author | Yang, Hujun | |
| dc.contributor.author | Han, Xiaoling | |
| dc.date.accessioned | 2021-12-06T16:46:46Z | |
| dc.date.available | 2021-12-06T16:46:46Z | |
| dc.date.issued | 2019-11-14 | |
| dc.description.abstract | In this article we study the existence and multiplicity of positive periodic solutions for two classes of non-autonomous fourth-order nonlinear ordinary differential equations uiv - pu″ - α(x)un + b(x)un+2 = 0, uiv - pu″ + α(x)un - b(x)un+2 = 0 where n is a positive integer, p ≤ 1, and α(x), b(x) are continuous positive T-periodic functions. These equations include particular cases of the extended Fisher-Kolmogorov equations and the Swift-Hohenberg equations. By using Mawhin's continuation theorem, we obtain two multiplicity results these equations. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Yang, H., & Han, X. (2019). Existence and multiplicity of positive periodic solutions for fourth-order nonlinear differential equations. <i>Electronic Journal of Differential Equations, 2019</i>(119), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15013 | |
| 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, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fourth-order nonlinear differential equations | |
| dc.subject | Multiplicity | |
| dc.subject | Positive periodic solutions | |
| dc.subject | Mawhin's continuation theorem | |
| dc.title | Existence and multiplicity of positive periodic solutions for fourth-order nonlinear differential equations | |
| dc.type | Article |