Oscillatory Behavior Of A Higher-Order Nonlinear Neutral Type Functional Difference Equation With Oscillating Coefficients

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Tarih

2014

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Tsing Hua Univ, Dept Mathematics

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this work, we shall consider oscillation of bounded solutions of higher-order nonlinear neutral delay difference equations of the following type Delta(n)[y (t) + p (t) f (y(tau(t)))] + q (t) h (y (sigma (t))) = 0,t is an element of N, where n is an element of{2,3,...} is fixed and can take both odd and even values, {p(t)}(t=1)(infinity) is a sequence of reals such that lim(t ->infinity) p(t) = 0, {q(t)}(t=1)(infinity) is a nonnegative sequence of reals, and {tau(t)}(t=1)(infinity) and {sigma(t)}(t=1)(infinity) are sequences of integers tending to infinity asymptotically and bounded above by {t}(t=1)(infinity), and f, h is an element of C(R,R).

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Applied Mathematics E-Notes

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N/A

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Cilt

14

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