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Oscillatory behavior of advanced difference equations with general arguments
Author(s) -
Şeyda Öcalan,
Özkan Öcalan,
Mustafa Yildiz Kemal
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2012161o
Subject(s) - mathematics , monotone polygon , oscillation (cell signaling) , order (exchange) , pi , combinatorics , discrete mathematics , pure mathematics , geometry , genetics , finance , economics , biology
In this paper, we introduce some oscillation criteria for the first-order advanced difference equations with general arguments ?x(n)- ?m,i=1 pi(n)x (?i(n)) = 0,n? 1, n ? N, where {pi(n)g(i=1,2,...m) are sequences of positive real numbers, {?i(n)}(i=1,2,...,m) are sequences of integers and are not necessarily monotone such that ?i(n)? n (i = 1,2,...,m). An example illustrating the results is also given.

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