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Limit-point/limit-circle results for equations with damping. (English) Zbl 1260.34053

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

MSC:

34B20 Weyl theory and its generalizations for ordinary differential equations
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