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In: Tatra Mountains Mathematical Publications, vol. 43, no. 2
Jiří Vítovec

# A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales

## Detaily:

Rok, strany: 2009, 243 - 255
Kľúčové slová:
half-linear dynamic equation, telescoping principle, oscillation criteria.

## O článku:

We establish the so-called \textit{telescoping principle}" for oscillation of the second order half-linear dynamic equation

$$\Bl[r(t)Φ\bl(xΔ\br)\Br]Δ + c(t)Φ(xσ )=0$$

on a time scale. This principle provides a method enabling us to construct many new oscillatory equations. Unlike previous works concerning the telescoping principle, we formulate some oscillation results under the weaker assumption $r(t)\not=0$ (instead $r(t)>0$).

## Ako citovať:

ISO 690:
Vítovec, J. 2009. A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales. In Tatra Mountains Mathematical Publications, vol. 43, no.2, pp. 243-255. 1210-3195.

APA:
Vítovec, J. (2009). A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales. Tatra Mountains Mathematical Publications, 43(2), 243-255. 1210-3195.