@inproceedings{ee15cfef99e247e9b6b092cbd883edbe,

title = "Global Asymptotic Stability in a Non-autonomous Difference Equation",

abstract = "Non-autonomous first order difference equation of the form (Formula Presented) is considered where (Formula Presented) is a continuous function satisfying the negative feedback assumption (Formula Presented) and (Formula Presented) is a non-negative sequence. Sufficient conditions for the global asymptotic stability of the zero solution are derived in terms of the attractivity of the fixed point x*=0 under the iterations of distinct maps of the family of one-dimensional maps (Formula Presented) The principal motivation for consideration of the difference equation and the corresponding family of interval maps comes from a problem of asymptotic behavior in differential equations with piece-wise constant argument (DEPCA).",

author = "Ivanov, {Anatoli F.}",

year = "2020",

month = jan,

day = "1",

doi = "10.1007/978-3-030-35502-9_10",

language = "English (US)",

isbn = "9783030355012",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "231--250",

editor = "Martin Bohner and Stefan Siegmund and {{\v S}imon Hilscher}, Roman and Petr Stehl{\'i}k",

booktitle = "Difference Equations and Discrete Dynamical Systems with Applications - 24th ICDEA 2018",

note = "24th International Conference on Difference Equations and Applications, ICDEA 2018 ; Conference date: 21-05-2018 Through 25-05-2018",

}