Oscillation criteria for second-order neutral differential equations with distributed deviating arguments
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Date
2007-01-02
Authors
Gui, Gaihua
Xu, Zhiting
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
Using a class of test functions Φ(t, s, T) defined by Sun [13] and a generalized Riccati technique, we establish some new oscillation criteria for the second-order neutral differential equation with distributed deviating argument.
(r(t)ψ(x(t))Z′ (t))′ + ∫bα q(t, ξ) ƒ[x(g(t, ξ))]dσ(ξ) = 0, t ≥ t0,
where Z(t) = x(t) + p(t)x(t - τ). The obtained results are different from most known ones and can be applied to many cases which are not covered by existing results.
Description
Keywords
oscillation, neutral differential equation, second order, distributed deviating argument, Riccati technique
Citation
Gui, G., & Xu, Z. (2007). Oscillation criteria for second-order neutral differential equations with distributed deviating arguments. Electronic Journal of Differential Equations, 2007(10), pp. 1-11.
Rights
Attribution 4.0 International