Monotone Solutions of a Higher Order Neutral Difference Equation
نویسندگان
چکیده
A real sequence {xk} is said to be (∗)-monotone with respect to a sequence {pk} and a positive integer σ if xk > 0 and (−1)∆(xk − pkxk−σ) ≥ 0 for n ≥ 0. This paper is concerned with the existence of (∗)-monotone solutions of a neutral difference equation. Existence criteria are derived by means of a comparison theorem and by establishing explicit existence criteria for positive and/or bounded solutions of a majorant recurrence relation. §
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