A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Periodical |
| Magazine / Source | Tatra Mountains Mathematical Publications |
| MU Faculty or unit | |
| Citation | |
| Web | http://tatra.mat.savba.sk/ |
| Field | General mathematics |
| Keywords | half-linear dynamic equation; telescoping principle; oscillation criteria |
| Description | We establish the so-called ``telescoping principle" for oscillation of the second order half-linear dynamic equation $$\Bl[r(t)\Phi\bl(x^{\Delta }\br)\Br]^\Delta + c(t)\Phi(x^\sigma)=0$$ 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 $r(t)>0$). |
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