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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2016-07-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4792 |