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Exponential Stability of Autonomous Differential Equations of Neutral Type. II

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Abstract—

Linear autonomous differential equations of neutral type are considered. Invertibility criteria for the operator at the derivative in the spaces \({{L}_{p}}\) expressed in terms of the equation parameters are established for commensurable delays and for delays linearly independent with respect to integers.

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Funding

This work was carried out as part of the State Task of the Ministry of Science and Higher Education of the Russian Federation (assignment no. FSNM-2020-0028) and supported by the Russian Foundation for Basic Research (project no. 18-01-00928).

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  1. Perm National Research Polytechnic University, 614990, Perm, Russia

    A. S. Balandin

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  1. A. S. Balandin
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Correspondence to A. S. Balandin.

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Translated by M. Talacheva

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Balandin, A.S. Exponential Stability of Autonomous Differential Equations of Neutral Type. II. Russ Math. 67, 1–10 (2023). https://doi.org/10.3103/S1066369X23040011

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