Monotonicity conditions in oscillation to superlinear differential equations

We consider the second order differential equation \[ \bigl(a(t)|x^{\prime}|^{\alpha}\operatorname{sgn\,}x^{\prime}\bigr)^{\prime }+b(t)|x|^{\beta}\operatorname{sgn\,}x=0 \] in the super-linear case $\alpha<\beta$. We prove the existence of the so-called intermediate solutions and we discuss thei...

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Bibliographic Details
Main Authors: Zuzana Dosla, Mauro Marini
Format: Article
Language:English
Published: University of Szeged 2016-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4792

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