Advanced Mathematical Models for Nonlinear Differential Equations: Existence and Uniqueness

Venkatachalapathi Uday, Dr. Gautam Kumar Rajput

Abstract: Nonlinear differential equations are central to a broad range of scientific and engineering problems. This paper explores advanced mathematical models for nonlinear differential equations, focusing on the existence and uniqueness of solutions. We review various theoretical approaches, present recent advancements, and discuss their implications for complex systems.

Keywords: Nonlinear Differential Equations, Existence and Uniqueness Theorems, Fixed - Point Theorems, Variational Methods, Topological Methods