Fast homoclinic solutions for damped vibration systems with subquadratic and asymptotically quadratic potentials
| dc.contributor.author | Ye, Yiwei | |
| dc.date.accessioned | 2021-11-05T14:57:11Z | |
| dc.date.available | 2021-11-05T14:57:11Z | |
| dc.date.issued | 2019-03-22 | |
| dc.description.abstract | In this article, we study the nonperiodic damped vibration problem ü(t) + q(t)u̇(t) - L(t)u(t) + ∇W(t, u(t)) = 0, where L(t) is uniformly positive definite for all t ∈ ℝ, and W(t, x) is either subquadratic or asymptotically quadratic in x as |x| → ∞. Based on the minimax method in critical point theory, we prove the existence and multiplicity of fast homoclinic solutions for the above problem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ye, Y. (2019). Fast homoclinic solutions for damped vibration systems with subquadratic and asymptotically quadratic potentials. <i>Electronic Journal of Differential Equations, 2019</i>(43), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14776 | |
| 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 | Fast homoclinic solutions | |
| dc.subject | Damped vibration problem | |
| dc.subject | Subquadratic | |
| dc.subject | Asymptotically quadratic | |
| dc.title | Fast homoclinic solutions for damped vibration systems with subquadratic and asymptotically quadratic potentials | |
| dc.type | Article |