Oscillation constants for half-linear difference equations with coefficients having mean values
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Advances in Difference Equations |
| MU Faculty or unit | |
| Citation | VESELÝ, Michal and Petr HASIL. Oscillation constants for half-linear difference equations with coefficients having mean values. Advances in Difference Equations. Springer, 2015, vol. 2015, July, p. "nestránkováno", 18 pp. ISSN 1687-1847. Available from: https://dx.doi.org/10.1186/s13662-015-0544-1. |
| web | http://www.advancesindifferenceequations.com/content/2015/1/210 |
| Doi | http://dx.doi.org/10.1186/s13662-015-0544-1 |
| Field | General mathematics |
| Keywords | half-linear difference equation; oscillation theory; conditional oscillation; oscillation constant; Euler equation; Riccati technique |
| Description | We investigate second order half-linear Euler type difference equations whose coefficients have mean values. We show that these equations are conditionally oscillatory and we explicitly identify the corresponding oscillation constants given by the coefficients. Our results generalize the known ones concerning equations with positive constant, periodic, or (asymptotically) almost periodic coefficients. We also demonstrate the obtained results on examples and we give corollaries. In particular, we get new results even for linear difference equations. |
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