Oscillation Results for Second-Order Quasi-Linear NeutralDelay Differential Equations

Authors : Tongxing Lİ, Shurong SUN, Zhenlai HAN, Bangxian HAN, - -, Yibing SUN

Pages : 131-138

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Publication Date : 2013-02-01

Article Type : Other Papers

Abstract :In this paper, some new oscillation criteria are obtained for the secondorder quasi-linear neutral delay differential equationrinsert ignore into journalissuearticles values(t);| xinsert ignore into journalissuearticles values(t); + pinsert ignore into journalissuearticles values(t);xinsert ignore into journalissuearticles values(τ insert ignore into journalissuearticles values(t);); |α−1xinsert ignore into journalissuearticles values(t); + pinsert ignore into journalissuearticles values(t);xinsert ignore into journalissuearticles values(τ insert ignore into journalissuearticles values(t););+ f t, xinsert ignore into journalissuearticles values(σinsert ignore into journalissuearticles values(t);); = 0, t ≥ tunder the case when∞ t r α insert ignore into journalissuearticles values(t); ment some known results in the literature. An example is also providedto illustrate the main results.
Keywords : Oscillation, Neutral delay differential equation, Second order