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MATHEMATICA BOHEMICA, Vol. 132, No. 3, pp. 243-256 (2007)
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#
Hartman-Wintner type criteria for half-linear second order differential equations

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Zuzana Patikova

* 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 (MSC2000):** 34C10

**Full text of the article:**

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