English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Letq ≥ 2be a positive integer and let(  a j  )  ,  (  b j  )and(  c j  )(with j nonnegative integer) be three given    C   -valued and q-periodic sequences. LetA  ( q )  : =  A  q − 1   ⋯  A 0  ,whereA jis defined below. Assume that the eigenvaluesx , y , zof the “monodromy matrix”A ( q )verify the condition( x − y ) ( y − z ) ( z − x ) ≠ 0 .We prove that the linear recurrence in    Cx  n + 3   =  a n   x  n + 2   +  b n   x  n + 1   +  c n   x n  ,  n ∈  Z +is Hyers–Ulam stable if and only if( | x | − 1 ) ( | y | − 1 ) ( | z | − 1 ) ≠ 0 ,i.e., the spectrum ofA ( q )does not intersect the unit circleΓ : = { w ∈ C : | w | = 1 } .

Hyers-Ulam Stability for Linear Differences with Time Dependent and Periodic Coefficients: The Case When the Monodromy Matrix Has Simple Eigenvalues