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On the Kneser-Type Solutions for Two-Dimensional Linear Differential Systems with Deviating Arguments

Abstract

For the differential system,,, where,,, we get necessary and sufficient conditions that this system does not have solutions satisfying the condition for. Note one of our results obtained for this system with constant coefficients and delays (, where and). The inequality is necessary and sufficient for nonexistence of solutions satisfying this condition.

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Correspondence to Alexander Domoshnitsky.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Domoshnitsky, A., Koplatadze, R. On the Kneser-Type Solutions for Two-Dimensional Linear Differential Systems with Deviating Arguments. J Inequal Appl 2007, 052304 (2007). https://doi.org/10.1155/2007/52304

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  • DOI: https://doi.org/10.1155/2007/52304

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