Necessary and sufficient conditions for the oscillation of delay differential equation with a piecewise constant argument

H. A. Agwo

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-5

Abstract:

The characteristic equation for an equation with continuous and piecewise constant argument in the form x ˙ ( t ) + p x ( t − τ ) + q x ( [ t − k ] ) = 0 where p , q ∈ ℜ , τ ∈ ℜ + and k ∈ ℵ is presented, which when q = 0 reduces to f ( λ ) = λ + e − λ τ = 0 and when p = 0 reduces to λ − 1 + q λ − k = 0 . Also, the necessary and sufficient conditions for oscillation are obtained.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:659532

DOI: 10.1155/S0161171298000702

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