Some Results About the Behaviour of Non-Linear Third Order Differential Equations

Abstract

The aim of this paper is to study the asymptotic behaviour of the following non-linear third order differential equations in large scale of time 〖〖〖[|u〗^(ˊˊ) (t)|〗^(p-1) u^(ˊˊ) (t)]〗^ˊ+f(t,u(t),u^ˊ (t),u^(ˊˊ) (t)=0 ;p≥1 (1). Many results about this behavior will be presented and discussed in terms of theorems, as well as many related examples will be illustrated.