Oscillation and non-oscillation of half-linear differential equations with coefficients determined by functions having mean values
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Periodical |
| Magazine / Source | Open Mathematics |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1515/math-2018-0047 |
| Doi | http://dx.doi.org/10.1515/math-2018-0047 |
| Keywords | half-linear equation; oscillation theory; conditional oscillation; oscillation constant; Euler equation; Riccati technique |
| Description | The paper belongs to the qualitative theory of half-linear equations which are located between linear and non-linear equations and, at the same time, between ordinary and partial differential equations. We analyse the oscillation and non-oscillation of second-order half-linear differential equations whose coefficients are given by the products of functions having mean values and power functions. We prove that the studied very general equations are conditionally oscillatory. In addition, we find the critical oscillation constant. |
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