Conditional oscillation of half-linear differential equations with coefficients having mean values
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Abstract and Applied Analysis |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1155/2014/258159 |
| Field | General mathematics |
| Keywords | half-linear equation; oscillation theory; conditional oscillation; oscillation constant; Euler equation; Riccati technique |
| Description | In the paper, we prove that the existence of the mean values of coefficients is sufficient for second order half-linear Euler-type differential equations to be conditionally oscillatory. We explicitly find an oscillation constant even for the considered equations whose coefficients can change sign. Our results cover known results concerning periodic and almost periodic positive coefficients and extend them. |
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