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

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

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...

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Bibliographic Details
Main Authors: George E. Chatzarakis, Hajnalka Péics, Andrea Rožnjik
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Mathematics
Subjects:
difference equation
continuous time
piecewise linear delay function
oscillating coefficients
oscillatory solutions
Online Access:https://www.mdpi.com/2227-7390/13/8/1325
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Summary: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.
ISSN:2227-7390

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