Limit-Point/Limit-Circle Results for Equations with Damping

Abstract

The authors study the nonlinear limit-point and limit-circle properties for the second order nonlinear damped differential equation $(a(t)|y\text{'}{|}^{p-1}y\text{'})\text{'}+b(t)|y\text{'}{|}^{q-1}y\text{'}+r(t)|y{|}^{\lambda -1}y=0$, where , $a(t)>0$, and $r(t)>0$. Some examples are given to illustrate the main results.