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Volume 25, Issue 3, July 2018, Pages 497 - 508
Further Riccati Differential Equations with Elliptic Coefficients and Meromorphic Solutions
Authors
Adolfo Guillot
Instituto de Matemáticas, Universidad Nacional Autónoma de México Ciudad Universitaria, 04510, Ciudad de México, Mexico,adolfo.guillot@im.unam.mx
Received 4 November 2017, Accepted 12 April 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2018.1494775How to use a DOI?
- Keywords
- differential equations in the complex domain; Riccati equation; Lamé equation; meromorphic solutions
- Abstract
We exhibit some families of Riccati differential equations in the complex domain having elliptic coefficients and study the problem of understanding the cases where there are no multivalued solutions. We give criteria ensuring that all the solutions to these equations are meromorphic functions defined in the whole complex plane, and highlight some cases where all solutions are, furthermore, doubly periodic.
- Copyright
- © 2018 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Adolfo Guillot PY - 2021 DA - 2021/01/06 TI - Further Riccati Differential Equations with Elliptic Coefficients and Meromorphic Solutions JO - Journal of Nonlinear Mathematical Physics SP - 497 EP - 508 VL - 25 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2018.1494775 DO - 10.1080/14029251.2018.1494775 ID - Guillot2021 ER -