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• 1 Masaryk University Department of Mathematics and Statistics Kotlářská 2 CZ-61137 Brno Czech Republic
• | 2 Tomas Bata University Department of Mathematics Nad Stráněmi 4511 760 05 Zlín Czech Republic
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We establish a new oscillation criterion for the half-linear second order differential equation
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$(r(t)\Phi (x'))' + c(t)\Phi (x) = 0,\Phi (x): = |x|^{p - 2} x,p > 1.$$ \end{document}
In this criterion, an integral term appears which involves a nonprincipal solution of a certain equation associated with (*).
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Studia Scientiarum Mathematicarum Hungarica
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