
handle: 11104/0162652
Summary: We study the oscillation of solutions to the half-linear differential equation \[ (r(t)|y'|^{p-1}\text{sgn} y)'+c(t)|y|^{p-1}\text{sgn} y=0, \] under the assumptions \(\int^\infty r^{1/(1-p)}(s)\,ds0, p>1\). Our main tool is a Riccati type transformation for using the so called ``function sequence technique''. This method leads to new and to known oscillation and comparison results. We also give an example that illustrates our results.
Riccati technique, Half-linear differential equation, QA1-939, oscillation criteria, half-linear differential equation, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Mathematics
Riccati technique, Half-linear differential equation, QA1-939, oscillation criteria, half-linear differential equation, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Mathematics
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