Oscillation of solutions of second-order linear differential equations and corresponding difference equations |
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| Authors: | Martin Bohner Olga Karpenko Oleksandr Stanzhytskyi |
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| Institution: | 1. Missouri University of Science and Technology, Rolla, MO, USAbohner@mst.edu;3. National Technical University of Kyiv ‘The Kyiv Polytechnic Institute’, Kyiv, Ukraine;4. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine |
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| Abstract: | In this paper, we present conditions ensuring that solutions of linear second-order differential equations oscillate, provided solutions of corresponding difference equations oscillate. We also establish the converse result, namely, when oscillation of solutions of difference equations implies oscillation of solutions of corresponding differential equations. |
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| Keywords: | oscillation zeros of solutions difference equation finite difference amplitude of oscillation |
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