George E. Chatzarakis

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Keyword: Difference equation Non-monotone argument Retarded argument Oscillatory solutions Nonoscillatory solutions a b s t r a c t Consider the first-order retarded difference equation DxðnÞ þ pðnÞx sðnÞ ð Þ¼0; n 2 N 0 where ðpðnÞÞ nP0 is a sequence of nonnegative real numbers, and ðsðnÞÞ nP0 is a sequence of integers such that sðnÞ 6 n À 1, n P 0; and lim(More)