Entire Solutions for Complex Systems of the Second-Order Partial Differential Difference Equations of Fermat Type

Si Min Liu, Hong Yan Xu and Stanislaw Migorski

Journal of Mathematics, 2021, vol. 2021, 1-14

Abstract: This article is mainly concerned with the existence and the forms of entire solutions for several systems of the second-order partial differential difference equations of Fermat type α∂2f1z1,z2/∂z12+β∂2f1z1,z2/∂z22n1+f2z1+c1,z2+c2m1=1α∂2f2z1,z2/∂z12+β∂2f2z1,z2/∂z22n2+f1z1+c1,z2+c2m2=1 and ∂2f1z1,z2/∂z122+f2z1+c1,z2+c22=1∂2f2z1,z2/∂z122+f1z1+c1,z2+c22=1. Our results about the existence and the forms of solutions for these systems generalize the previous theorems given by Xu and Cao, Gao, Liu, and Yang. In addition, we give some examples to explain the existence of solutions of this system in each case.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2021/4207579.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2021/4207579.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4207579

DOI: 10.1155/2021/4207579

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().