Oscillation of second-order delay differential equations with mixed nonlinearities. (English) Zbl 1171.34338

Sun, Yuan Gong; Meng, Fan Wei

Appl. Math. Comput. 207, No. 1, 135-139 (2009).

The authors study the oscillatory behavior of delay differential equations with mixed nonlinearities \[ \begin{split} (r(t)|u'(t)|^{\alpha-1}u'(t))' + q_0(t)|u[\tau_0(t)]|^{\alpha-1}u[\tau_0(t)] + q_1(t)|u[\tau_1(t)]|^{\beta-1}u[\tau_1(t)]\\ + q_2(t)|u[\tau_2(t)]|^{\gamma-1}u[\tau_2(t)]=0,\end{split} \]
where \(\gamma>\alpha>\beta>0\). Obtained criteria generalize earlier ones.

Reviewer: Jozef Dzurina (Kosice)

MSC:

34K11	Oscillation theory of functional-differential equations
34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

oscillation; delay differential equation; mixed nonlinearities

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