Oscillatory behavior for nonlinear homogeneous neutral difference equations of second order with coefficient changing sign
| dc.contributor.author | Bhuyan, Ajit Kumar | |
| dc.contributor.author | Padhy, Laxmi Narayan | |
| dc.contributor.author | Rath, Radhanath | |
| dc.date.accessioned | 2021-10-04T17:17:54Z | |
| dc.date.available | 2021-10-04T17:17:54Z | |
| dc.date.issued | 2020-08-12 | |
| dc.description.abstract | In this article, we obtain sufficient conditions so that all solutions of the neutral difference equation ∆2(yn - pnL(yn - s)) + qnG(yn - k) = 0, and all unbounded solutions of the neutral difference equation ∆2(yn - pnL(yn - s)) + qn</sub>G(yn - k) - unH(yα(n)) = 0 are oscillatory, where ∆yn = yn+1 - yn, ∆2yn = ∆(∆yn). Different types of super linear and sub linear conditions are imposed on G to prevent the solution approaching zero or ±∞. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bhuyan, A. K., Padhy, L. N., & Rath, R. (2020). Oscillatory behavior for nonlinear homogeneous neutral difference equations of second order with coefficient changing sign. <i>Electronic Journal of Differential Equations, 2020</i>(87), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14594 | |
| 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 | Oscillatory solution | |
| dc.subject | Nonoscillatory solution | |
| dc.subject | Asymptotic behavior | |
| dc.subject | Difference equation | |
| dc.title | Oscillatory behavior for nonlinear homogeneous neutral difference equations of second order with coefficient changing sign | |
| dc.type | Article |