RECENT ADVANCES IN GROUP - THEORETIC METHODS FOR DIFFERENTIAL EQUATIONS

Abstract

The analysis of differential equations is a fundamental aspect of mathematics with wide-ranging applications in various scientific disciplines. Theoretic methods play a crucial role in this analysis, providing a framework for understanding the behavior of solutions to differential equations. This paper explores the key theoretic methods used in the analysis of differential equations, including existence and uniqueness theorems, stability analysis, and qualitative analysis techniques. The paper also discusses the applications of these methods in various fields, highlighting their importance in understanding complex dynamical systems and predicting their behavior.