Interval oscillation of second-order Emden-Fowler neutral delay differential equations

Date

2007-04-22

Authors

Chen, Mu
Xu, Zhiting

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

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.

Description

Keywords

Interval oscillation, Neutral delay differential equation, Emden-Fowler, Riccati technique, Integral averaging method

Citation

Chen, M., & Xu, Z. (2007). Interval oscillation of second-order Emden-Fowler neutral delay differential equations. <i>Electronic Journal of Differential Equations, 2007</i>(58), pp. 1-9.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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