Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation
In this paper, the entire solutions of finite order of the Fermat-type differential-difference equation f″z2+△ckfz2=1 and the system of equations f1″z2+△ckf2z2=1 and f2″z2+△ckf1z2=1 have been studied. We give the necessary and sufficient conditions of existence of the entire solutions of finite orde...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/4871812 |
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| _version_ | 1832550356539670528 |
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| author | Guoqiang Dang Jinhua Cai |
| author_facet | Guoqiang Dang Jinhua Cai |
| author_sort | Guoqiang Dang |
| collection | DOAJ |
| description | In this paper, the entire solutions of finite order of the Fermat-type differential-difference equation f″z2+△ckfz2=1 and the system of equations f1″z2+△ckf2z2=1 and f2″z2+△ckf1z2=1 have been studied. We give the necessary and sufficient conditions of existence of the entire solutions of finite order. |
| format | Article |
| id | doaj-art-639b658bfda24810b92586aefff24663 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-639b658bfda24810b92586aefff246632025-02-03T06:06:55ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/48718124871812Entire Solutions of the Second-Order Fermat-Type Differential-Difference EquationGuoqiang Dang0Jinhua Cai1School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaIn this paper, the entire solutions of finite order of the Fermat-type differential-difference equation f″z2+△ckfz2=1 and the system of equations f1″z2+△ckf2z2=1 and f2″z2+△ckf1z2=1 have been studied. We give the necessary and sufficient conditions of existence of the entire solutions of finite order.http://dx.doi.org/10.1155/2020/4871812 |
| spellingShingle | Guoqiang Dang Jinhua Cai Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation Journal of Mathematics |
| title | Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation |
| title_full | Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation |
| title_fullStr | Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation |
| title_full_unstemmed | Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation |
| title_short | Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation |
| title_sort | entire solutions of the second order fermat type differential difference equation |
| url | http://dx.doi.org/10.1155/2020/4871812 |
| work_keys_str_mv | AT guoqiangdang entiresolutionsofthesecondorderfermattypedifferentialdifferenceequation AT jinhuacai entiresolutionsofthesecondorderfermattypedifferentialdifferenceequation |