On Entire Solutions of Two Certain Types of Quadratic Trinomial PDDEs with Two Complex Variables
Abstract
In this article, we study the existence and specific form of finite order transcendental entire solutions of two certain types of quadratic trinomial PDDEs(partial differential difference equations), including first-order and second-order nonlinear PDDEs in \(\mathbb {C}^2\) , which extend the previous results. Furthermore, some examples are exhibited to illustrate our results.
Fields of Study & Subjects
Meromorphic and Entire Functions
Polynomial and algebraic computation
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- Journal of Nonlinear Mathematical Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 33
- Issue
- 1
- Publication date
- 11 June 2026
- Language
- EN