The existence of entire solutions of some systems of the Fermat type differential-difference equations
In this paper, we investigate some systems of the Fermat type differential-difference equations with polynomial coefficients and obtain the condition for the existence of finite order transcendental entire solutions and the expression for the entire solutions. We also give some corresponding example...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-08-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022974?viewType=HTML |
| _version_ | 1828749680248356864 |
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| author | Yeyang Jiang Zhihua Liao Di Qiu |
| author_facet | Yeyang Jiang Zhihua Liao Di Qiu |
| author_sort | Yeyang Jiang |
| collection | DOAJ |
| description | In this paper, we investigate some systems of the Fermat type differential-difference equations with polynomial coefficients and obtain the condition for the existence of finite order transcendental entire solutions and the expression for the entire solutions. We also give some corresponding examples. |
| first_indexed | 2024-12-10T20:26:45Z |
| format | Article |
| id | doaj.art-311052b6efab4724b68ee16e40640f6c |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-10T20:26:45Z |
| publishDate | 2022-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-311052b6efab4724b68ee16e40640f6c2022-12-22T01:34:50ZengAIMS PressAIMS Mathematics2473-69882022-08-01710176851769810.3934/math.2022974The existence of entire solutions of some systems of the Fermat type differential-difference equationsYeyang Jiang0Zhihua Liao 1Di Qiu2School of Mathematics and Computer, Jiangxi Science and Technology Normal University, No.389 Xuefu Avenue, NanChang 330038, ChinaSchool of Mathematics and Computer, Jiangxi Science and Technology Normal University, No.389 Xuefu Avenue, NanChang 330038, ChinaSchool of Mathematics and Computer, Jiangxi Science and Technology Normal University, No.389 Xuefu Avenue, NanChang 330038, ChinaIn this paper, we investigate some systems of the Fermat type differential-difference equations with polynomial coefficients and obtain the condition for the existence of finite order transcendental entire solutions and the expression for the entire solutions. We also give some corresponding examples.https://www.aimspress.com/article/doi/10.3934/math.2022974?viewType=HTMLexistencefermat typedifferential-difference equationfinite orderentire solution |
| spellingShingle | Yeyang Jiang Zhihua Liao Di Qiu The existence of entire solutions of some systems of the Fermat type differential-difference equations AIMS Mathematics existence fermat type differential-difference equation finite order entire solution |
| title | The existence of entire solutions of some systems of the Fermat type differential-difference equations |
| title_full | The existence of entire solutions of some systems of the Fermat type differential-difference equations |
| title_fullStr | The existence of entire solutions of some systems of the Fermat type differential-difference equations |
| title_full_unstemmed | The existence of entire solutions of some systems of the Fermat type differential-difference equations |
| title_short | The existence of entire solutions of some systems of the Fermat type differential-difference equations |
| title_sort | existence of entire solutions of some systems of the fermat type differential difference equations |
| topic | existence fermat type differential-difference equation finite order entire solution |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022974?viewType=HTML |
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