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2014•Abstract and Applied AnalysisOpen access

Necessary and Sufficient Conditions of Oscillation in First Order Neutral Delay Differential Equations

Songbai Guo, Youjian Shen, Binbin Shi

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Abstract

We are concerned with oscillation of the first order neutral delay differential equation [x(t)−px(t−τ)]′+qx(t−σ)=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 .

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We are concerned with oscillation of the first order neutral delay differential equation [x(t)−px(t−τ)]′+qx(t−σ)=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 .

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Available abstract

We are concerned with oscillation of the first order neutral delay differential equation [x(t)−px(t−τ)]′+qx(t−σ)=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 .

Key concepts: Algorithm, Materials science, Computer science

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