Multiplicity of solutions for nonperiodic perturbed fractional Hamiltonian systems
| dc.contributor.author | Benhassine, Abderrazek | |
| dc.date.accessioned | 2022-04-08T18:25:39Z | |
| dc.date.available | 2022-04-08T18:25:39Z | |
| dc.date.issued | 2017-03-30 | |
| dc.description.abstract | In this article, we prove the existence and multiplicity of nontrivial solutions for the nonperiodic perturbed fractional Hamiltonian systems -tDα∞(-∞Dαtx(t)) - λL(t) · x(t) + ∇W(t, x(t)) = ƒ(t), x ∈ Hα (ℝ, ℝN), where α ∈ (1/2, 1], λ > 0 is a parameter, t ∈ ℝ, x ∈ ℝN, -∞Dαt and tDα∞ are left and right Liouville-Weyl fractional derivatives of order α on the whole axis ℝ respectively, the matrix L(t) is not necessary positive definite for all t ∈ ℝ nor coercive, W ∈ C1 (ℝxℝN) and ƒ ∈ L2(ℝ, ℝN)\{0} small enough. Replacing the Ambrosetti-Rabinowitz Condition by general superquadratic assumptions, we establish the existence and multiplicity results for the above system. Some examples are also given to illustrate our results. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 15 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Benhassine, A. (2017). Multiplicity of solutions for nonperiodic perturbed fractional Hamiltonian systems. <i>Electronic Journal of Differential Equations, 2017</i>(93), pp. 1-15. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15625 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Fractional Hamiltonian systems | |
| dc.subject | Critical point | |
| dc.subject | Variational methods | |
| dc.title | Multiplicity of solutions for nonperiodic perturbed fractional Hamiltonian systems | |
| dc.type | Article |