MATHEMATICA BOHEMICA, Vol. 132, No. 3, pp. 243-256 (2007)

Hartman-Wintner type criteria for half-linear second order differential equations

Zuzana Patikova

Zuzana Patikova, Department of Mathematics, Tomas Bata University in Zlin, Nad Stranemi 4511, 760 05 Zlin, Czech Republic, e-mail:

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 (MSC2000): 34C10

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