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On nonexistence of Kneser solutions of third-order neutral delay differential equations
Institution:1. Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Ko?ice, Letná 9, 042 00 Ko?ice, Slovakia;2. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt
Abstract:The aim of this paper is to complement existing oscillation results for third-order neutral delay differential equations by establishing sufficient conditions for nonexistence of so-called Kneser solutions. Combining newly obtained results with existing ones, we attain oscillation of all solutions of the studied equations.
Keywords:Neutral differential equation  Delay  Third-order  Kneser solution  Oscillation
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