The exact solutions for several partial differential-difference equations with constant coefficients
| dc.contributor.author | Xu, Hongyan | |
| dc.contributor.author | Xu, Ling | |
| dc.contributor.author | Srivastava, H.M. | |
| dc.date.accessioned | 2022-11-12T15:23:02Z | |
| dc.date.available | 2022-11-12T15:23:02Z | |
| dc.date.copyright | 2022 | en_US |
| dc.date.issued | 2022 | |
| dc.description.abstract | This article is concerned with the description of the entire solutions of several Fermat type partial differential-difference equations (PDDEs) [μf(z) + λfz1(z)]^2 + [αf(z + c) - βf(z)]^2 = 1 and [μf(z) + λ1fz1(z) + λ2fz2(z)]^2 + [αf(z + c) - βf(z)]^2 = 1, where fz1(z) = ∂f/∂z1 and fz2(z) = ∂f/∂z2, c = (c1,c2) ∈ ℂ^2, α,β,μ,λ,λ1,λ2,c1,c2 are constants in ℂ. Our theorems in this paper give some descriptions of the forms of transcendental entire solutions for the above equations, which are some extensions and improvement of the previous theorems given by Xu, Cao, Liu, and Yang. In particular, we exhibit a series of examples to explain that the existence conditions and the forms of transcendental entire solutions with a finite order of such equations are precise. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.description.sponsorship | This work was supported by the National Natural Science Foundation of China (12161074), and the Talent Introduction Research Foundation of Suqian University (106-CK00042/028). | en_US |
| dc.identifier.citation | Xu, H., Xu, L., & Srivastava, H. M. (2022). “The exact solutions for several partial differential-difference equations with constant coefficients.” Mathematics, 10(19), 3596. https://doi.org/10.3390/math10193596 | en_US |
| dc.identifier.uri | https://doi.org/10.3390/math10193596 | |
| dc.identifier.uri | http://hdl.handle.net/1828/14419 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mathematics | en_US |
| dc.subject | Nevanlinna theory | |
| dc.subject | entire solution | |
| dc.subject | partial differential-difference equation | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | The exact solutions for several partial differential-difference equations with constant coefficients | en_US |
| dc.type | Article | en_US |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- Srivastava_Hari_Mathematics_2022_10.pdf
- Size:
- 375.88 KB
- Format:
- Adobe Portable Document Format
- Description:
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 2 KB
- Format:
- Item-specific license agreed upon to submission
- Description: