Etude Des Solutions Meromorphes D'Equations Differentielles
A. Lesfari
TL;DR
This paper investigates meromorphic solutions to differential equations in the complex domain, establishing existence and uniqueness using specific methods, and explores their relation to algebraic integrability systems.
Contribution
It introduces a proof of existence and uniqueness of meromorphic solutions and connects these solutions to algebraic integrability systems.
Findings
Proves existence and uniqueness of meromorphic solutions.
Links solutions to algebraic integrability.
Utilizes indeterminate coefficients and majorant methods.
Abstract
In this paper we shall study differential equations in the complex domain. The method of indeterminate coefficients and the majorant method lead to a proof of the existence and uniqueness of meromorphic solution of differential equations. We discuss their connection with the concept of algebraic integrability systems.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Differential Equations and Numerical Methods · Numerical methods for differential equations