Oscillation of second order delay differential equations. (English) Zbl 1141.34341

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


34K11 Oscillation theory of functional-differential equations


Zbl 1110.34046
Full Text: DOI


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