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Zbl 1141.34341
Weng, Aizhi; Sun, Jitao
Oscillation of second order delay differential equations. (English)
[J] Appl. Math. Comput. 198, No. 2, 930-935 (2008). ISSN 0096-3003

Summary: We establish oscillation criteria for the second order functional equations $$\left[x(t)+\sum^l_{i=1}c_i(t)x(t-\tau_i)\right]''+\sum^m_{i=1}p_i(t)x(t-\delta_i)-\sum^n_{i=1}q_i(t)x(t-\sigma_i)=0$$ and $$\left[x(t)+\sum^l_{i=1}c_i(t)x(t-\tau_i)\right]''+\sum^m_{i=1}p_i(t)x(t-\delta_i)-\sum^n_{i=1}q_i(t)x(t-\sigma_i)=f(t).$$ They improve the one recently established by [{\it J. Manojlovic, Y. Shoukaku, T. Tanigawa}, and {\it N. Yoshida}, Appl. Math. Comp. 181, 853--863 (2006; Zbl 1110.34046)].

MSC 2000:: *34K11 Oscillation theory of functional-differential equations

Keywords: oscillation; second order; delay; differential equation

Citations: Zbl 1110.34046

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