2024/04/17 by Molla Basir Ahamed, Ahamed, Molla Basir, Sanju Mandal +1
Mathematics · Medicine · #30D35 #32W50 #35M30 #39A45 #Complex Variables (math.CV) #Differential Equations and Numerical Methods #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.2404.11102
openalex publication_date 2024/04/17 · openalex created_date 2024/04/19 · openalex updated_date 2026/07/28
The main objective of this study is to investigate the existence and forms of solutions of systems of general quadratic functional equations in ℂn. By utilizing Nevanlinna theory in ℂn, we explore the existence and form of solutions for the several systems of general quadratic difference and partial differential-difference equations of the form af2 + 2αfg + bg2 + 2βf + 2γg + C=0, where f and g are non-constant meromorphic functions in ℂn. The obtained results in this article are improvements and generalizations of several results from [RACSAM, 116(8) (2022)]. Furthermore, appropriate remarks and illustrative examples are provided to validate and demonstrate the applicability of the obtained results concerning the existence and forms of solutions for such systems of equations.