Oscillation of modified Euler type half-linear differential equations via averaging technique
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Web | https://ejde.math.txstate.edu/Volumes/2022/41/hassil.pdf |
| Keywords | Half-linear equations; linear equations; Prüfer angle; oscillation criterion; averaging technique |
| Description | In this article, we analyze the oscillation behavior of half-linear differential equation (r(t)t^(p-1)Phi(x'))' + s(t)/(t log^p t) Phi(x) = 0, Phi(x) = |x|^(p-1) sgn x, p > 1. Applying the modified half-linear Prüfer angle and a general averaging technique over unbounded intervals, we prove an oscillation criterion for the studied equation. We point out that the presented oscillation criterion is new even in the linear case when p = 2. |
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