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Keywords:
Edmen-Fowler type equation of second order; oscillatory and nonoscillatory solutions; oscillatory and nonoscillatory equations
Edmen-Fowler type equation of second order; oscillatory and nonoscillatory solutions; oscillatory and nonoscillatory equations
Summary:
Oscillation and nonoscillation criteria are established for the equation $$u''+p(t)|u|^{\alpha}|u'|^{1-\alpha}\operatorname{sgn} u=0,$$ where $\alpha\in ]0,1]$, and $p:[0,+\infty[\to [0,+\infty[$ is a locally summable function.
References:
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[3] Del Pino M., Elgueta M., Manasevich R.: Generalized Hartman’s oscillation result for $(|x^{\prime }|^{p-2}x^{\prime })^{\prime }+c(t)|x|^{p-2}=0, p>1.$. Houston Journal of Math., vol. 17 , No 1, (1991) pp. 63–70. MR 1107187 | Zbl 0733.34039
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