Existence of solutions to fractional Hamiltonian systems with local superquadratic conditions
| dc.contributor.author | Guo, Zijun | |
| dc.contributor.author | Zhang, Qingye | |
| dc.date.accessioned | 2021-09-22T15:32:06Z | |
| dc.date.available | 2021-09-22T15:32:06Z | |
| dc.date.issued | 2020-04-06 | |
| dc.description.abstract | In this article, we study the existence of solutions for the fractional Hamiltonian system tDα∞ (-∞Dαtu(t)) + L(t)u(t) = ∇W(t, u(t)), u ∈ Hα (ℝ, ℝN), where tDα∞ and -∞Dαt are the Liouville-Weyl fractional derivatives of order 1/2 < α < 1, L ∈ C (ℝ, ℝNxN) is a symmetric matrix-valued function, which is unnecessarily required to be coercive, and W ∈ C1 (ℝ x ℝN, ℝ) satisfies some kind of local superquadratic conditions, which is rather weaker than the usual Ambrosetti-Rabinowitz condition. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Guo, Z., & Zhang, Q. (2020). Existence of solutions to fractional Hamiltonian systems with local superquadratic conditions. <i>Electronic Journal of Differential Equations, 2020</i>(29), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14533 | |
| 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 | Fractional Hamiltonian system | |
| dc.subject | Variational method | |
| dc.subject | Superquadratic | |
| dc.title | Existence of solutions to fractional Hamiltonian systems with local superquadratic conditions | |
| dc.type | Article |