JOURNAL ARTICLE

A study on the existence of solutions for the class of nonlinear partial differential-difference equations in several complex variables.

  • Published In: Bulletin of the Belgian Mathematical Society - Simon Stevin, 2024, v. 31, n. 5. P. 563 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Mondal, Rana; Kaish, Imrul 3 of 3

Abstract

We explore the non-existence and existence of transcendental entire solutions of a certain type of partial differential-difference equations in Cn of the type defined by Fermat with finite-order constraint. We also study the existence as well as the form of transcendental entire solutions for a particular class of Fermat's type partial differential-difference equations in C2 with finite-order constraint. The results provided as solutions for these problems have substantially enhanced the theorem that was previously suggested by Xu, Cao, Liu, Wang, Zhang, Zheng [22, 32, 33, 37, 40]. In contrast to earlier articles, this one uses a different technique. By using several examples, it is shown that there are certain conditions and types of transcendental entire solutions of finite order of such equations. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Bulletin of the Belgian Mathematical Society - Simon Stevin. 2024/12, Vol. 31, Issue 5, p563
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2024
  • ISSN:1370-1444
  • DOI:10.36045/j.bbms.230928
  • Accession Number:181905413
  • Copyright Statement:Copyright of Bulletin of the Belgian Mathematical Society - Simon Stevin is the property of Department of Pure Mathematics & Computer Algebra, Ghent University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Looking to go deeper into this topic? Look for more articles on EBSCOhost.