Interval oscillation of second-order Emden-Fowler neutral delay differential equations
MetadataShow full metadata
Employing Riccati techniques and the integral averaging method, we establish interval oscillation criteria for the second-order Emden-Fowler neutral delay differential equation
[|x′(t)|γ-1 x′(t)]′ + q1(t)|y(t - σ)|α-1 y(t - σ) + q2(t)|y(t - σ)|β-1 y(t - σ) = 0,
where t ≥ t0 and x(t) = y(t) + p(t)y(t - τ). The criteria obtained here are different from most known criteria in the sense that they are based on information only on a sequence of subintervals of [t0, ∞), rather than on the whole half-line. In particular, two interesting examples that illustrate the importance of our results are included.
CitationChen, M., & Xu, Z. (2007). Interval oscillation of second-order Emden-Fowler neutral delay differential equations. Electronic Journal of Differential Equations, 2007(58), pp. 1-9.
This work is licensed under a Creative Commons Attribution 4.0 International License.