Oscillation criteria for second-order neutral differential equations with distributed deviating arguments

dc.contributor.authorGui, Gaihua
dc.contributor.authorXu, Zhiting
dc.date.accessioned2021-08-02T19:24:54Z
dc.date.available2021-08-02T19:24:54Z
dc.date.issued2007-01-02
dc.description.abstractUsing 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGui, G., & Xu, Z. (2007). Oscillation criteria for second-order neutral differential equations with distributed deviating arguments. <i>Electronic Journal of Differential Equations, 2007</i>(10), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14160
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectOscillation
dc.subjectNeutral differential equation
dc.subjectSecond order
dc.subjectDistributed deviating argument
dc.subjectRiccati technique
dc.titleOscillation criteria for second-order neutral differential equations with distributed deviating arguments
dc.typeArticle

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