Sharp oscillation criteria for second-order neutral delay differential equations |
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Authors: | Martin Bohner Said R Grace Irena Jadlovská |
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Institution: | 1. Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, Missouri, USA;2. Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza, Egypt;3. Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Ko?ice, Ko?ice, Slovakia |
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Abstract: | This paper is a continuation of a recent work by the authors on the oscillatory properties of second-order half-linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing ones. In a particular nonneutral case, the obtained oscillation constant is unimprovable. |
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Keywords: | delay half-linear neutral differential equation oscillation second order |
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