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Oscillation criteria for second order retarded differential equations. (English) Zbl 1386.34116

Summary: We present some new criteria for oscillation of the second-order retarded differential equation \[ \left(r(t)\left|(x(t)+p(t)x (\tau(t)))'\right|^{\alpha-1}(x(t)+p(t)x (\tau(t)))'\right)' + q(t)|x(\sigma(t))|^{\alpha-1}x (\sigma(t))=0, \] where \(\tau(t)\) and \(\sigma(t)\) are delayed arguments.

MSC:

34K11 Oscillation theory of functional-differential equations
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