Publication details
Oscillation criterion for half-linear differential equations with periodic coefficients
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Analysis and Applications |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.jmaa.2012.03.020 |
| Field | General mathematics |
| Keywords | Oscillation; Half-linear equation; Periodic coefficients; Modified Riccati equation; Hill's Equation |
| Attached files | |
| Description | In this paper, we present an oscillation criterion for second order half-linear differential equations with periodic coefficients. The method is based on the nonexistence of a proper solution of the related modified Riccati equation. Our result can be regarded as an oscillatory counterpart to the nonoscillation criterion by Sugie and Matsumura (2008). These two theorems provide a complete half-linear extension of the oscillation criterion of Kwong and Wong (2003) dealing with the Hill's equation. |
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