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Stability switches in certain linear neutral differential equations

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In this paper we study stability switches with respect to delay of the zero solution of certain neutral even order differential equations of the form y (2m)(t) + α y (2m)(tπ) = Σ2m–1 j=0 a j y (j)(t) + Σ2m–1 j=0 b j y (j)(tπ) where a j , bj , α ∈ (–1, 0) ∪ (0, 1) are constants, m ≥ 1, and π > 0 is a constant delay.
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Keywords: ASYMPTOTIC STABILITY; CHARACTERISTIC FUNCTIONS; DELAY; NECESSARY CONDITIONS; STABILITY CRITERIA; STABILITY SWITCHES

Document Type: Research Article

Publication date: September 1, 2015

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