Zuzana Patikova, Department of Mathematics, Tomas Bata University in Zlin, Nad Stranemi 4511, 760 05 Zlin, Czech Republic, e-mail: patikova@fai.utb.cz
Abstract: We establish Hartman-Wintner type criteria for the half-linear second order differential equation
\left(r(t)\Phi(x')\right)'+c(t)\Phi(x)=0,\quad\Phi(x)=|x|^{p-2}x, p>1,
where this equation is viewed as a perturbation of another equation of the same form.
Keywords: half-linear differential equation, Hartman-Wintner criterion, Riccati equation, principal solution
Classification (MSC 2000): 34C10
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