Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients

George E. Chatzarakis (), Hajnalka Péics and Andrea Rožnjik
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George E. Chatzarakis: Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 15122 Marousi, Athens, Greece
Hajnalka Péics: Faculty of Civil Engineering, University of Novi Sad, Kozaračka 2/A, 24000 Subotica, Serbia
Andrea Rožnjik: Faculty of Civil Engineering, University of Novi Sad, Kozaračka 2/A, 24000 Subotica, Serbia

Mathematics, 2025, vol. 13, issue 8, 1-16

Abstract: This paper considers difference equations with continuous time, piecewise linear delay functions, and oscillatory coefficients. We present new conditions on the coefficients that provide the oscillatory property of the solutions of the considered difference equations. The given criteria are compared to the existing oscillatory conditions in the literature using examples.

Keywords: difference equation; continuous time; piecewise linear delay function; oscillating coefficients; oscillatory solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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