Abstract
For a differential equation with a distributed varying delay, sufficient criteria for the asymptotic and uniform stability of solutions are obtained. The constructed examples demonstrate exactness of the boundary of the obtained stability domain.
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Original Russian Text © V.V. Malygina, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 7, pp. 19–28.
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Malygina, V.V. The exact boundaries of the stability domains of linear differential equations with distributed delay. Russ Math. 52, 15–23 (2008). https://doi.org/10.3103/S1066369X08070037
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DOI: https://doi.org/10.3103/S1066369X08070037