On time transformations for differential equations with state-dependent delay |
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Authors: | Alexander V Rezounenko |
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Institution: | 1. Department of Mechanics and Mathematics, Kharkiv National University, Svobody Sqr. 4, Kharkiv, 61022, Ukraine 2. Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Praha, 18208, Czech Republic
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Abstract: | Systems of differential equations with state-dependent delay are considered. The delay dynamically depends on the state, i.e. is governed by an additional differential equation. By applying the time transformations we arrive to constant delay systems and compare the asymptotic properties of the original and transformed systems. |
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