THE SOLUTIONS OF NON-LINEAR DIFFERENTIAL EQUATIONS

Abstract

The main object of this thesis is to study the non-linear differential equations which • describe the vibrational motion of systems represent many applications in the field of engineering, physics, mechanics and electronics. The mathematical model. which is studied in this thesis is a second order non-linear differential equation which describes the vibration of a buckled beam under either external or both external and parametric excitation forces. We obtained the solution of the mathematical system applying both the analytical and numerical methods