A necessary and sufficient condition for the oscillation in a class of even order neutral differential equations

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Abstract

The even order neutral differential equation (1.1) (equation presented) is considered under the following conditions: n ≥ 2 is even; λ > 0; T > 0; g ∈ C[t0, ∞), limt→∞g(t) = ∞; f ∈ C([t0, ∞) × R), uf(t, u) ≥ 0 for (t, u) ∈ [t0, ∞) × R, and f(t, u) is nondecreasing in u ∈ R for each fixed t ≥ t0. It is shown that equation (1.1) is oscillatory if and only if the non-neutral differential equation (equation presented) is oscillatory.

Original languageEnglish
Pages (from-to)1-27
Number of pages27
JournalElectronic Journal of Qualitative Theory of Differential Equations
DOIs
Publication statusPublished - 2000
Externally publishedYes

Keywords

  • Neutral differential equation
  • Oscillation

ASJC Scopus subject areas

  • Applied Mathematics

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