Limit-Point/Limit-Circle Results for Superlinear Damped Equations

Abstract

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