Oscillation Criteria for a Class of Second Order Neutral Delay Differential Equations
Pure and Applied Mathematics Journal
Volume 3, Issue 5, October 2014, Pages: 95-98
Received: Aug. 28, 2014; Accepted: Sep. 13, 2014; Published: Sep. 20, 2014
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Authors
Yanxiang Shi, School of Mathematical Sciences, Shanxi University, Taiyuan, China
Di Liu, School of Mathematical Sciences, Shanxi University, Taiyuan, China
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Abstract
Oscillation criteria for a class of second order neutral delay differential equations of the form [c(t)((x(t)+p(t)x(t-τ))^' )^α ]^'+q(t)f(x(t-σ) )=0,t≥t_0 is studied. By using first and second mean value theorem of integrals, the new sufficient condition is obtained and the corresponding result what was already obtained is generalized by the result in this paper.
Keywords
Neutral Delay Differential Equation, Oscillatory Solution, Eventually Positive Solution
To cite this article
Yanxiang Shi, Di Liu, Oscillation Criteria for a Class of Second Order Neutral Delay Differential Equations, Pure and Applied Mathematics Journal. Vol. 3, No. 5, 2014, pp. 95-98. doi: 10.11648/j.pamj.20140305.11
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