Sequences of small homoclinic solutions for difference equations on integers
| dc.contributor.author | Steglinski, Robert | |
| dc.date.accessioned | 2022-07-27T20:09:25Z | |
| dc.date.available | 2022-07-27T20:09:25Z | |
| dc.date.issued | 2017-09-22 | |
| dc.description.abstract | In this article, we determine a concrete interval of positive parameters λ, for which we prove the existence of infinitely many homoclinic solutions for a discrete problem -Δ(α(k)φp (Δu(k - 1))) + b(k)φp(u(k)) = λƒ(k, u(k)), k ∈ ℤ, where the nonlinear term ƒ : ℤ x ℝ → ℝ has an appropriate oscillatory behavior at zero. We use both the general variational principle of Ricceri and the direct method introduced by Faraci and Kristály [11]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Steglinski, R. (2017). Sequences of small homoclinic solutions for difference equations on integers. <i>Electronic Journal of Differential Equations, 2017</i>(228), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15997 | |
| 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 | Difference equations | |
| dc.subject | Discrete p-Laplacian | |
| dc.subject | Variational methods | |
| dc.subject | Infinitely many solutions | |
| dc.title | Sequences of small homoclinic solutions for difference equations on integers | |
| dc.type | Article |