Meromorphic solutions to non-linear differential-difference equations
| dc.contributor.author | Song, Changjiang | |
| dc.contributor.author | Liu, Kai | |
| dc.contributor.author | Ma, Lei | |
| dc.date.accessioned | 2022-01-31T19:56:19Z | |
| dc.date.available | 2022-01-31T19:56:19Z | |
| dc.date.issued | 2018-04-17 | |
| dc.description.abstract | We consider the non-linear differential-difference equation c(z)w(z + 1) + α(z) w′(z)/w(z) = R(z, w(z)), where R(z, w(z)) is rational in w(z) with rational coefficients, α(z) and c(z) are non-zero rational functions. We give necessary conditions on the degree of R(z, w) for the above equation to admit a transcendental meromorphic solution of hyper-order ρ2(w) < 1. We also consider the admissible rational solutions of the above equation. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Song, C., Liu, K., & Ma, L. (2018). Meromorphic solutions to non-linear differential-difference equations. <i>Electronic Journal of Differential Equations, 2018</i>(93), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15260 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Meromorphic solutions | |
| dc.subject | Differential-difference equations | |
| dc.subject | Hyper-order | |
| dc.title | Meromorphic solutions to non-linear differential-difference equations | |
| dc.type | Article |