Oscillatory behaviour of higher-order nonlinear neutral delay dynamic equations on time scales
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In this paper, new sufficient conditions are established for the oscillation of solutions of the higher order dynamic equations [r(t)(z?n-1(t))?]? + q(t) f(x(?(t)))=0, for t ?[t0,?)T, where z(t):= x(t)+ p(t)x(?(t)), n ? 2 is an even integer and ? ? 1 is a quotient of odd positive integers. Under less restrictive assumptions for the neutral coefficient, we employ new comparison theorems and Generalized Riccati technique.
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2013 ◽
Vol 37
(8)
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pp. 1219-1231
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2012 ◽
Vol 4
(3)
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pp. 187
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