Lower order for meromorphic solutions to linear delay-differential equations
| dc.contributor.author | Bellaama, Rachid | |
| dc.contributor.author | Belaidi, Benharrat | |
| dc.date.accessioned | 2022-11-02T14:10:54Z | |
| dc.date.available | 2022-11-02T14:10:54Z | |
| dc.date.issued | 2021-11-18 | |
| dc.description.abstract | In this article, we study the order of growth for solutions of the non-homogeneous linear delay-differential equation ∑ni=0 ∑mj=0Aijƒ(j) (z + ci) = F(z), where Aij(z) (i = 0,..., n; j = 0,...,m), F(z) are entire or meromorphic functions and ci (0, 1,...,n) are non-zero distinct complex numbers. Under the condition that there exists one coefficient having the maximal lower order, or having the maximal lower type, strictly greater than the order, or the type, of the other coefficients, we obtain estimates of the lower bound of the order of meromorphic solutions of the above equation. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bellaama, R., & Belaïdi, B. (2021). Lower order for meromorphic solutions to linear delay-differential equations. <i>Electronic Journal of Differential Equations, 2021</i>(92), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16274 | |
| 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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Linear difference equation | |
| dc.subject | Linear delay-differential equation | |
| dc.subject | Meromorphic solution | |
| dc.subject | Order | |
| dc.subject | Type | |
| dc.subject | Lower order | |
| dc.subject | Lower type | |
| dc.title | Lower order for meromorphic solutions to linear delay-differential equations | en_US |
| dc.type | Article |