The existence and forms of solutions for some Fermat-type differential-difference equations
The main aim of this article is to investigate the existence and the forms of solutions for several complex differential-difference equations of Fermat-type. Our results about the existence and the forms of solutions for these Fermat type equations are great improvement of the previous theorems give...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2020-01-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020046/fulltext.html |
| _version_ | 1818850385197006848 |
|---|---|
| author | Hua Wang Hong Yan Xu Jin Tu |
| author_facet | Hua Wang Hong Yan Xu Jin Tu |
| author_sort | Hua Wang |
| collection | DOAJ |
| description | The main aim of this article is to investigate the existence and the forms of solutions for several complex differential-difference equations of Fermat-type. Our results about the existence and the forms of solutions for these Fermat type equations are great improvement of the previous theorems given by Liu, Yang, Cao, Zhang. Moreover, it is a very satisfactory fact that in some examples explicit solutions are given. |
| first_indexed | 2024-12-19T06:48:17Z |
| format | Article |
| id | doaj.art-99167e878ec94342b60f70b45b78740a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-19T06:48:17Z |
| publishDate | 2020-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-99167e878ec94342b60f70b45b78740a2022-12-21T20:31:50ZengAIMS PressAIMS Mathematics2473-69882020-01-015168570010.3934/math.2020046The existence and forms of solutions for some Fermat-type differential-difference equationsHua Wang0Hong Yan Xu1Jin Tu21 Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi, 333403, China2 School of Mathematics and Computer Science, Shangrao Normal University, Shangrao Jiangxi, 334001, China3 Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchan, Jiangxi, 330022, P. R. ChinaThe main aim of this article is to investigate the existence and the forms of solutions for several complex differential-difference equations of Fermat-type. Our results about the existence and the forms of solutions for these Fermat type equations are great improvement of the previous theorems given by Liu, Yang, Cao, Zhang. Moreover, it is a very satisfactory fact that in some examples explicit solutions are given.https://www.aimspress.com/article/10.3934/math.2020046/fulltext.htmlfermat typeentire functionexistencedifferential-difference equation |
| spellingShingle | Hua Wang Hong Yan Xu Jin Tu The existence and forms of solutions for some Fermat-type differential-difference equations AIMS Mathematics fermat type entire function existence differential-difference equation |
| title | The existence and forms of solutions for some Fermat-type differential-difference equations |
| title_full | The existence and forms of solutions for some Fermat-type differential-difference equations |
| title_fullStr | The existence and forms of solutions for some Fermat-type differential-difference equations |
| title_full_unstemmed | The existence and forms of solutions for some Fermat-type differential-difference equations |
| title_short | The existence and forms of solutions for some Fermat-type differential-difference equations |
| title_sort | existence and forms of solutions for some fermat type differential difference equations |
| topic | fermat type entire function existence differential-difference equation |
| url | https://www.aimspress.com/article/10.3934/math.2020046/fulltext.html |
| work_keys_str_mv | AT huawang theexistenceandformsofsolutionsforsomefermattypedifferentialdifferenceequations AT hongyanxu theexistenceandformsofsolutionsforsomefermattypedifferentialdifferenceequations AT jintu theexistenceandformsofsolutionsforsomefermattypedifferentialdifferenceequations AT huawang existenceandformsofsolutionsforsomefermattypedifferentialdifferenceequations AT hongyanxu existenceandformsofsolutionsforsomefermattypedifferentialdifferenceequations AT jintu existenceandformsofsolutionsforsomefermattypedifferentialdifferenceequations |