Necessary and sufficient conditions of oscillation in first order neutral delay differential equations. (English) Zbl 1474.34442

Guo, Songbai; Shen, Youjian; Shi, Binbin

Abstr. Appl. Anal. 2014, Article ID 623713, 5 p. (2014).

Summary: We are concerned with oscillation of the first order neutral delay differential equation \([x(t) - p x(t - \tau)]' + q x(t - \sigma) = 0\) with constant coefficients, and we obtain some necessary and sufficient conditions of oscillation for all the solutions in respective cases \(0 < p < 1\) and \(p > 1\).

MSC:

34K11	Oscillation theory of functional-differential equations
34K06	Linear functional-differential equations
34K40	Neutral functional-differential equations

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