Euler - Lagrangian Mechanics on (2,0)-Jet Bundles with Constraints

Abstract

This paper aims to present Euler -Lagrangian Mechanics formalism for mechanical systems using (2,0)-Jet Bundles with Constraints, which represent an interesting multidisciplinary field of research. As a result of this study, partial differential equations will be obtained for movement of objects in space and solutions of these equations will be made by using the Maple computer program. In this study, some geometrical, relativistic, mechanical, and physical results related to (2,0)-Jet Bundles with Constraints mechanical systems broad applications in mathematical physics, geometrical optics, classical mechanics, analytical mechanics, mechanical systems, thermodynamics, geometric quantization and applied mathematics such as control theory.