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Browsing School of Sciences and Humanities by Subject "equation"
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Benekas, Vasileios; Kashkynbayev, Ardak; Stavroulakis, Ioannis P.
(Advances in Difference Equations, 2020)
It is known that all solutions of the difference equation
Δx(n)+p(n)x(n−k)=0,n≥0,
where {p(n)}∞n=0 is a nonnegative sequence of reals and k is a natural number, oscillate if lim infn→∞∑n−1i=n−kp(i)>(kk+1)k+1. In the ...