Author/Authors :
HAN, ZHENLAI University of Jinan - School of Science, China , HAN, ZHENLAI Shandong University - School of Control Science and Engineering, China , LI, TONGXING University of Jinan - School of Science, China , LI, TONGXING Shandong University - School of Control Science and Engineering, China , ZHANG, CHENGHUI Shandong University - School of Control Science and Engineering, China , SUN, SHURONG University of Jinan - School of Science, China , SUN, SHURONG Missouri University of Science and Technology - Department of Mathematics and Statistics, USA
Abstract :
The present work is concerned with the oscillation and asymptotic properties of the third-order mixed neutral differential equation (a(t) (x(t)+ p1(t)x(t -τ1)+ p2(t)x(t +τ2))ʺ)ʹ+q1(t)x(t-τ3)+q2(t)x(t+τ4)=0; t ≥t0: We establish two theorems which guarantee that every solution x of the above equation oscillates or limt→∞ x(t) = 0. These results complement some known results obtained in the literature. Some examples are considered to illustrate the main results.
Keywords :
Oscillation , third , order , mixed neutral functional differential equations.
