Non-oscillation of periodic half-linear equations in the critical case
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | half-linear equations; Prüfer angle; oscillation theory; conditional oscillation; oscillation constant |
| Description | Recently, it was shown that certain Euler type half-linear differential equations with periodic coefficients are conditionally oscillatory and the critical oscillation constant was found. Nevertheless, the critical case remains unsolved. The objective of this article is to study the critical case. Thus, we consider the critical value of the coefficients and we prove that any considered equation is non-oscillatory. Moreover, we analyze the situation when the periods of coefficients do not need to coincide. |
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