In this paper, we establish the so-called ``\textit{telescoping principle}" for oscillation of the second order half-linear dynamic equation $$[r(t)\Phi(x^{\Delta })]^\Delta + c(t)\Phi(x^{\sigma})=0$$ 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 $r(t)>0$).
@article{31,
title = {A telescoping principle for oscillation of second order half-linear dynamic equations on time scales},
journal = {Tatra Mountains Mathematical Publications},
volume = {43},
year = {2009},
doi = {10.2478/tatra.v43i0.31},
language = {EN},
url = {http://dml.mathdoc.fr/item/31}
}
Vítovec, Jiří. A telescoping principle for oscillation of second order half-linear dynamic equations on time scales. Tatra Mountains Mathematical Publications, Tome 43 (2009) . doi : 10.2478/tatra.v43i0.31. http://gdmltest.u-ga.fr/item/31/